(8x-2y)(8x-2y)=

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


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

Multiply (8x + -2y) * (8x + -2y)
(8x * (8x + -2y) + -2y * (8x + -2y)) = 0
((8x * 8x + -2y * 8x) + -2y * (8x + -2y)) = 0

Reorder the terms:
((-16xy + 64x2) + -2y * (8x + -2y)) = 0
((-16xy + 64x2) + -2y * (8x + -2y)) = 0
(-16xy + 64x2 + (8x * -2y + -2y * -2y)) = 0
(-16xy + 64x2 + (-16xy + 4y2)) = 0

Reorder the terms:
(-16xy + -16xy + 64x2 + 4y2) = 0

Combine like terms: -16xy + -16xy = -32xy
(-32xy + 64x2 + 4y2) = 0

Solving
-32xy + 64x2 + 4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8xy + 16x2 + y2) = 0

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

Ignore the factor 4.

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

Simplifying
4x + -1y = 0

Solving
4x + -1y = 0

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

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

Combine like terms: -1y + y = 0
4x + 0 = 0 + y
4x = 0 + y
Remove the zero:
4x = y

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

Simplifying
x = 0.25y

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

Simplifying
4x + -1y = 0

Solving
4x + -1y = 0

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

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

Combine like terms: -1y + y = 0
4x + 0 = 0 + y
4x = 0 + y
Remove the zero:
4x = y

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

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

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