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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
:
\newline
8
x
+
12
−
16
=
−
10
\sqrt{8 x+12}-16=-10
8
x
+
12
−
16
=
−
10
\newline
Answer:
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
:
\newline
8
x
+
12
−
16
=
−
10
\sqrt{8 x+12}-16=-10
8
x
+
12
−
16
=
−
10
\newline
Answer:
Add
16
16
16
:
Add
16
16
16
to both sides of the equation to isolate the
square root
on one side.
\newline
8
x
+
12
−
16
+
16
=
−
10
+
16
\sqrt{8x + 12} - 16 + 16 = -10 + 16
8
x
+
12
−
16
+
16
=
−
10
+
16
\newline
8
x
+
12
=
6
\sqrt{8x + 12} = 6
8
x
+
12
=
6
Square both sides:
Square both sides of the equation to eliminate the square root.
\newline
(
8
x
+
12
)
2
=
6
2
(\sqrt{8x + 12})^2 = 6^2
(
8
x
+
12
)
2
=
6
2
\newline
8
x
+
12
=
36
8x + 12 = 36
8
x
+
12
=
36
Subtract
12
12
12
:
Subtract
12
12
12
from both sides of the equation to isolate the term with the variable
x
x
x
.
\newline
8
x
+
12
−
12
=
36
−
12
8x + 12 - 12 = 36 - 12
8
x
+
12
−
12
=
36
−
12
\newline
8
x
=
24
8x = 24
8
x
=
24
Divide by
8
8
8
:
Divide both sides of the equation by
8
8
8
to solve for x.
\newline
8
x
8
=
24
8
\frac{8x}{8} = \frac{24}{8}
8
8
x
=
8
24
\newline
x
=
3
x = 3
x
=
3
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Question
Solve for
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z
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p
p
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=
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=
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=
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p
p
.
\newline
4
p
=
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+
3
p
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4
p
=
10
+
3
p
\newline
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=
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=
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