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

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


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

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

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

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

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

Solving
4 + -32x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -8x + 16x2) = 0

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

Ignore the factor 4.

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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {0.25, 0.25}

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