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

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


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

Reorder the terms for easier multiplication:
x(4x + 4y)(4x + -4y) = 0

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

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

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

Combine like terms: -16xy + 16xy = 0
x(0 + 16x2 + -16y2) = 0
x(16x2 + -16y2) = 0
(16x2 * x + -16y2 * x) = 0

Reorder the terms:
(-16xy2 + 16x3) = 0
(-16xy2 + 16x3) = 0

Solving
-16xy2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-1y2 + x2) = 0

Factor a difference between two squares.
16x((y + x)(-1y + x)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
y + x = 0

Reorder the terms:
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y

Subproblem 3
Set the factor '(-1y + x)' equal to zero and attempt to solve:

Simplifying
-1y + x = 0

Reorder the terms:
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 = {0, -1y, y}

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