(2x+8)(x-2)=144

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Solution for (2x+8)(x-2)=144 equation: 


Simplifying
(2x + 8)(x + -2) = 144

Reorder the terms:
(8 + 2x)(x + -2) = 144

Reorder the terms:
(8 + 2x)(-2 + x) = 144

Multiply (8 + 2x) * (-2 + x)
(8(-2 + x) + 2x * (-2 + x)) = 144
((-2 * 8 + x * 8) + 2x * (-2 + x)) = 144
((-16 + 8x) + 2x * (-2 + x)) = 144
(-16 + 8x + (-2 * 2x + x * 2x)) = 144
(-16 + 8x + (-4x + 2x2)) = 144

Combine like terms: 8x + -4x = 4x
(-16 + 4x + 2x2) = 144

Solving
-16 + 4x + 2x2 = 144

Solving for variable 'x'.

Reorder the terms:
-16 + -144 + 4x + 2x2 = 144 + -144

Combine like terms: -16 + -144 = -160
-160 + 4x + 2x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-160 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-80 + 2x + x2) = 0

Factor a trinomial.
2((-10 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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 = {-10, 8}

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