4[(x+8)(x+8)]=36

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Solution for 4[(x+8)(x+8)]=36 equation: 


Simplifying
4[(x + 8)(x + 8)] = 36

Reorder the terms:
4[(8 + x)(x + 8)] = 36

Reorder the terms:
4[(8 + x)(8 + x)] = 36

Multiply (8 + x) * (8 + x)
4[(8(8 + x) + x(8 + x))] = 36
4[((8 * 8 + x * 8) + x(8 + x))] = 36
4[((64 + 8x) + x(8 + x))] = 36
4[(64 + 8x + (8 * x + x * x))] = 36
4[(64 + 8x + (8x + x2))] = 36

Combine like terms: 8x + 8x = 16x
4[(64 + 16x + x2)] = 36
[64 * 4 + 16x * 4 + x2 * 4] = 36
[256 + 64x + 4x2] = 36

Solving
256 + 64x + 4x2 = 36

Solving for variable 'x'.

Reorder the terms:
256 + -36 + 64x + 4x2 = 36 + -36

Combine like terms: 256 + -36 = 220
220 + 64x + 4x2 = 36 + -36

Combine like terms: 36 + -36 = 0
220 + 64x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(55 + 16x + x2) = 0

Factor a trinomial.
4((11 + x)(5 + x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-11, -5}

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