(2x-4)(x+3)=132

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Solution for (2x-4)(x+3)=132 equation: 


Simplifying
(2x + -4)(x + 3) = 132

Reorder the terms:
(-4 + 2x)(x + 3) = 132

Reorder the terms:
(-4 + 2x)(3 + x) = 132

Multiply (-4 + 2x) * (3 + x)
(-4(3 + x) + 2x * (3 + x)) = 132
((3 * -4 + x * -4) + 2x * (3 + x)) = 132
((-12 + -4x) + 2x * (3 + x)) = 132
(-12 + -4x + (3 * 2x + x * 2x)) = 132
(-12 + -4x + (6x + 2x2)) = 132

Combine like terms: -4x + 6x = 2x
(-12 + 2x + 2x2) = 132

Solving
-12 + 2x + 2x2 = 132

Solving for variable 'x'.

Reorder the terms:
-12 + -132 + 2x + 2x2 = 132 + -132

Combine like terms: -12 + -132 = -144
-144 + 2x + 2x2 = 132 + -132

Combine like terms: 132 + -132 = 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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