(2x+14)(2x+8)-112=

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Solution for (2x+14)(2x+8)-112= equation: 


Simplifying
(2x + 14)(2x + 8) + -112 = 0

Reorder the terms:
(14 + 2x)(2x + 8) + -112 = 0

Reorder the terms:
(14 + 2x)(8 + 2x) + -112 = 0

Multiply (14 + 2x) * (8 + 2x)
(14(8 + 2x) + 2x * (8 + 2x)) + -112 = 0
((8 * 14 + 2x * 14) + 2x * (8 + 2x)) + -112 = 0
((112 + 28x) + 2x * (8 + 2x)) + -112 = 0
(112 + 28x + (8 * 2x + 2x * 2x)) + -112 = 0
(112 + 28x + (16x + 4x2)) + -112 = 0

Combine like terms: 28x + 16x = 44x
(112 + 44x + 4x2) + -112 = 0

Reorder the terms:
112 + -112 + 44x + 4x2 = 0

Combine like terms: 112 + -112 = 0
0 + 44x + 4x2 = 0
44x + 4x2 = 0

Solving
44x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(11 + 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 '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {0, -11}

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