(2x+8)(4x+8)=

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Solution for (2x+8)(4x+8)= equation: 


Simplifying
(2x + 8)(4x + 8) = 0

Reorder the terms:
(8 + 2x)(4x + 8) = 0

Reorder the terms:
(8 + 2x)(8 + 4x) = 0

Multiply (8 + 2x) * (8 + 4x)
(8(8 + 4x) + 2x * (8 + 4x)) = 0
((8 * 8 + 4x * 8) + 2x * (8 + 4x)) = 0
((64 + 32x) + 2x * (8 + 4x)) = 0
(64 + 32x + (8 * 2x + 4x * 2x)) = 0
(64 + 32x + (16x + 8x2)) = 0

Combine like terms: 32x + 16x = 48x
(64 + 48x + 8x2) = 0

Solving
64 + 48x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(8 + 6x + x2) = 0

Factor a trinomial.
8((4 + x)(2 + x)) = 0

Ignore the factor 8.

Subproblem 1
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

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 = {-4, -2}

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