96=(2x+8)(2x+12)-96

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Solution for 96=(2x+8)(2x+12)-96 equation: 


Simplifying
96 = (2x + 8)(2x + 12) + -96

Reorder the terms:
96 = (8 + 2x)(2x + 12) + -96

Reorder the terms:
96 = (8 + 2x)(12 + 2x) + -96

Multiply (8 + 2x) * (12 + 2x)
96 = (8(12 + 2x) + 2x * (12 + 2x)) + -96
96 = ((12 * 8 + 2x * 8) + 2x * (12 + 2x)) + -96
96 = ((96 + 16x) + 2x * (12 + 2x)) + -96
96 = (96 + 16x + (12 * 2x + 2x * 2x)) + -96
96 = (96 + 16x + (24x + 4x2)) + -96

Combine like terms: 16x + 24x = 40x
96 = (96 + 40x + 4x2) + -96

Reorder the terms:
96 = 96 + -96 + 40x + 4x2

Combine like terms: 96 + -96 = 0
96 = 0 + 40x + 4x2
96 = 40x + 4x2

Solving
96 = 40x + 4x2

Solving for variable 'x'.

Reorder the terms:
96 + -40x + -4x2 = 40x + -40x + 4x2 + -4x2

Combine like terms: 40x + -40x = 0
96 + -40x + -4x2 = 0 + 4x2 + -4x2
96 + -40x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
96 + -40x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + -10x + -1x2) = 0

Factor a trinomial.
4((2 + -1x)(12 + x)) = 0

Ignore the factor 4.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {2, -12}

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