(-8x+2y)(-4x+4y)=

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Solution for (-8x+2y)(-4x+4y)= equation: 


Simplifying
(-8x + 2y)(-4x + 4y) = 0

Multiply (-8x + 2y) * (-4x + 4y)
(-8x * (-4x + 4y) + 2y * (-4x + 4y)) = 0
((-4x * -8x + 4y * -8x) + 2y * (-4x + 4y)) = 0

Reorder the terms:
((-32xy + 32x2) + 2y * (-4x + 4y)) = 0
((-32xy + 32x2) + 2y * (-4x + 4y)) = 0
(-32xy + 32x2 + (-4x * 2y + 4y * 2y)) = 0
(-32xy + 32x2 + (-8xy + 8y2)) = 0

Reorder the terms:
(-32xy + -8xy + 32x2 + 8y2) = 0

Combine like terms: -32xy + -8xy = -40xy
(-40xy + 32x2 + 8y2) = 0

Solving
-40xy + 32x2 + 8y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-5xy + 4x2 + y2) = 0

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

Ignore the factor 8.

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 '(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 = {y, 0.25y}

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