(2x+2)x=144

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Solution for (2x+2)x=144 equation: 


Simplifying
(2x + 2) * x = 144

Reorder the terms:
(2 + 2x) * x = 144

Reorder the terms for easier multiplication:
x(2 + 2x) = 144
(2 * x + 2x * x) = 144
(2x + 2x2) = 144

Solving
2x + 2x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + 2x + 2x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + x + x2) = 0

Factor a trinomial.
2((-9 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-9, 8}

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