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

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


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

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

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

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

Combine like terms: -64xy + -64xy = -128xy
(-128xy + 64x2 + 64y2) = 0

Solving
-128xy + 64x2 + 64y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '64'.
64(-2xy + x2 + y2) = 0

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

Ignore the factor 64.

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

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

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

Simplifying
x = y

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

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

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

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

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