(4x-4y)(x-y)=

Solution for (4x-4y)(x-y)= equation:

Simplifying
(4x + -4y)(x + -1y) = 0

Multiply (4x + -4y) * (x + -1y)
(4x * (x + -1y) + -4y * (x + -1y)) = 0
((x * 4x + -1y * 4x) + -4y * (x + -1y)) = 0

Reorder the terms:
((-4xy + 4x2) + -4y * (x + -1y)) = 0
((-4xy + 4x2) + -4y * (x + -1y)) = 0
(-4xy + 4x2 + (x * -4y + -1y * -4y)) = 0
(-4xy + 4x2 + (-4xy + 4y2)) = 0

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

Combine like terms: -4xy + -4xy = -8xy
(-8xy + 4x2 + 4y2) = 0

Solving
-8xy + 4x2 + 4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2xy + x2 + y2) = 0

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

Ignore the factor 4.
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}