(2x-8)(2x-8)=0

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Solution for (2x-8)(2x-8)=0 equation: 


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

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

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

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

Combine like terms: -16x + -16x = -32x
(64 + -32x + 4x2) = 0

Solving
64 + -32x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -8x + x2) = 0

Factor a trinomial.
4((4 + -1x)(4 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

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

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