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

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


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

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

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

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

Combine like terms: 8x + 8x = 16x
2(64 + 16x + x2) = 0
(64 * 2 + 16x * 2 + x2 * 2) = 0
(128 + 32x + 2x2) = 0

Solving
128 + 32x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(64 + 16x + x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {-8, -8}

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