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

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


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

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

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

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

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

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

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

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

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

Solving
40x + 4x2 = 0

Solving for variable 'x'.

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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