(8+x)(8+x)4=144

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Solution for (8+x)(8+x)4=144 equation: 


Simplifying
(8 + x)(8 + x) * 4 = 144

Reorder the terms for easier multiplication:
4(8 + x)(8 + x) = 144

Multiply (8 + x) * (8 + x)
4(8(8 + x) + x(8 + x)) = 144
4((8 * 8 + x * 8) + x(8 + x)) = 144
4((64 + 8x) + x(8 + x)) = 144
4(64 + 8x + (8 * x + x * x)) = 144
4(64 + 8x + (8x + x2)) = 144

Combine like terms: 8x + 8x = 16x
4(64 + 16x + x2) = 144
(64 * 4 + 16x * 4 + x2 * 4) = 144
(256 + 64x + 4x2) = 144

Solving
256 + 64x + 4x2 = 144

Solving for variable 'x'.

Reorder the terms:
256 + -144 + 64x + 4x2 = 144 + -144

Combine like terms: 256 + -144 = 112
112 + 64x + 4x2 = 144 + -144

Combine like terms: 144 + -144 = 0
112 + 64x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(28 + 16x + x2) = 0

Factor a trinomial.
4((14 + x)(2 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-14, -2}

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