(4x+8)(4x+8)=64

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Solution for (4x+8)(4x+8)=64 equation: 


Simplifying
(4x + 8)(4x + 8) = 64

Reorder the terms:
(8 + 4x)(4x + 8) = 64

Reorder the terms:
(8 + 4x)(8 + 4x) = 64

Multiply (8 + 4x) * (8 + 4x)
(8(8 + 4x) + 4x * (8 + 4x)) = 64
((8 * 8 + 4x * 8) + 4x * (8 + 4x)) = 64
((64 + 32x) + 4x * (8 + 4x)) = 64
(64 + 32x + (8 * 4x + 4x * 4x)) = 64
(64 + 32x + (32x + 16x2)) = 64

Combine like terms: 32x + 32x = 64x
(64 + 64x + 16x2) = 64

Add '-64' to each side of the equation.
64 + 64x + -64 + 16x2 = 64 + -64

Reorder the terms:
64 + -64 + 64x + 16x2 = 64 + -64

Combine like terms: 64 + -64 = 0
0 + 64x + 16x2 = 64 + -64
64x + 16x2 = 64 + -64

Combine like terms: 64 + -64 = 0
64x + 16x2 = 0

Solving
64x + 16x2 = 0

Solving for variable 'x'.

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

Ignore the factor 16.

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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {0, -4}

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