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

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


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

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

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

Add '-96' to each side of the equation.
96 + -96 = 96 + 40x + -96 + 4x2

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

Reorder the terms:
0 = 96 + -96 + 40x + 4x2

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

Solving
0 = 40x + 4x2

Solving for variable 'x'.
Remove the zero:
-40x + -4x2 = 40x + 4x2 + -40x + -4x2

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

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

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

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

Ignore the factor -4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

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

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

Simplifying
x = -10
Solution
x = {0, -10}

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