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Let’s check out your problem:
Fill in the blanks with numerals.
\newline
\newline
14
□
=
□
14 \square = \square
14
□
=
□
+
40
+
7
+40+7
+
40
+
7
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Math Problems
Algebra 2
Multiply and divide rational expressions
Full solution
Q.
Fill in the blanks with numerals.
\newline
\newline
14
□
=
□
14 \square = \square
14
□
=
□
+
40
+
7
+40+7
+
40
+
7
Identify equation structure:
Identify the equation structure and simplify the right side.
\newline
14
x
=
x
+
40
+
7
14x = x + 40 + 7
14
x
=
x
+
40
+
7
\newline
Combine like terms on the right side:
\newline
x
+
47
x + 47
x
+
47
Combine like terms:
Set up the equation to isolate
x
x
x
.
14
x
=
x
+
47
14x = x + 47
14
x
=
x
+
47
Subtract
x
x
x
from both sides:
14
x
−
x
=
47
14x - x = 47
14
x
−
x
=
47
13
x
=
47
13x = 47
13
x
=
47
Set up to isolate
x
x
x
:
Solve for
x
x
x
.
\newline
Divide both sides by
13
13
13
:
\newline
x
=
47
13
x = \frac{47}{13}
x
=
13
47
\newline
x
=
3.615
x = 3.615
x
=
3.615
(approximately)
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\newline
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\newline
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\newline
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