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Let’s check out your problem:
Solve the equation. Check your solution.
\newline
−
3
(
4
y
+
2
)
−
12
=
−
8
(
y
+
4
)
+
4
y
-3(4 y+2)-12=-8(y+4)+4 y
−
3
(
4
y
+
2
)
−
12
=
−
8
(
y
+
4
)
+
4
y
\newline
The solution set is
_
_
_
_
_
\_\_\_\_\_
_____
. Type an integer or a simplified
fraction
.
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Home
Math Problems
Algebra 2
Conjugate root theorems
Full solution
Q.
Solve the equation. Check your solution.
\newline
−
3
(
4
y
+
2
)
−
12
=
−
8
(
y
+
4
)
+
4
y
-3(4 y+2)-12=-8(y+4)+4 y
−
3
(
4
y
+
2
)
−
12
=
−
8
(
y
+
4
)
+
4
y
\newline
The solution set is
_
_
_
_
_
\_\_\_\_\_
_____
. Type an integer or a simplified fraction.
Distribute
−
3
-3
−
3
:
Distribute the
−
3
-3
−
3
into the parentheses on the left side of the equation.
\newline
Calculation: \(-3(
4
4
4
y) +
−
3
-3
−
3
(
2
2
2
) -
12
12
12
=
−
12
-12
−
12
y -
6
6
6
-
12
12
12
Combine like terms:
Combine like terms on the left side of the equation.
\newline
Calculation:
−
12
y
−
6
−
12
=
−
12
y
−
18
-12y - 6 - 12 = -12y - 18
−
12
y
−
6
−
12
=
−
12
y
−
18
Distribute
−
8
-8
−
8
:
Distribute the
−
8
-8
−
8
into the parentheses on the right side of the equation.
\newline
Calculation: \(-8(y) +
−
8
-8
−
8
(
4
4
4
) +
4
4
4
y =
−
8
-8
−
8
y -
32
32
32
+
4
4
4
y
Combine like terms:
Combine like terms on the right side of the equation.
\newline
Calculation:
−
8
y
−
32
+
4
y
=
−
4
y
−
32
-8y - 32 + 4y = -4y - 32
−
8
y
−
32
+
4
y
=
−
4
y
−
32
Set equal:
Set the simplified left side equal to the simplified right side.
\newline
Calculation:
−
12
y
−
18
=
−
4
y
−
32
-12y - 18 = -4y - 32
−
12
y
−
18
=
−
4
y
−
32
Add
4
y
4y
4
y
:
Add
4
y
4y
4
y
to both sides to get all the y terms on one side.
\newline
Calculation:
−
12
y
+
4
y
−
18
=
−
4
y
+
4
y
−
32
-12y + 4y - 18 = -4y + 4y - 32
−
12
y
+
4
y
−
18
=
−
4
y
+
4
y
−
32
\newline
Simplification:
−
8
y
−
18
=
−
32
-8y - 18 = -32
−
8
y
−
18
=
−
32
Add
18
18
18
:
Add
18
18
18
to both sides to isolate the
y
y
y
term.
\newline
Calculation:
−
8
y
−
18
+
18
=
−
32
+
18
-8y - 18 + 18 = -32 + 18
−
8
y
−
18
+
18
=
−
32
+
18
\newline
Simplification:
−
8
y
=
−
14
-8y = -14
−
8
y
=
−
14
Divide by
−
8
-8
−
8
:
Divide both sides by
−
8
-8
−
8
to solve for
y
y
y
.
\newline
Calculation:
−
8
y
/
−
8
=
−
14
/
−
8
-8y / -8 = -14 / -8
−
8
y
/
−
8
=
−
14/
−
8
\newline
Simplification:
y
=
14
/
8
y = 14/8
y
=
14/8
Simplify fraction:
Simplify the fraction to get the final answer.
\newline
Calculation:
y
=
14
8
=
7
4
y = \frac{14}{8} = \frac{7}{4}
y
=
8
14
=
4
7
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\newline
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\newline
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\newline
(
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2
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\newline
−
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−
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\newline
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Find the product. Simplify your answer.
\newline
(
v
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(
4
v
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)
(v - 3)(4v + 1)
(
v
−
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)
(
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\newline
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Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
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Posted 5 months ago
Question
Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
t
2
+
36
t
)
÷
6
t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
÷
6
t
\newline
______
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Posted 5 months ago
Question
Is the function
q
(
x
)
=
x
6
−
9
q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
-3q^2(-3q^2 + q)
−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the roots of the factored polynomial.
\newline
(
x
+
7
)
(
x
+
4
)
(x + 7)(x + 4)
(
x
+
7
)
(
x
+
4
)
\newline
Write your answer as a list of values separated by commas.
\newline
x
=
x =
x
=
____
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Posted 9 months ago
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