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

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


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

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

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

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

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

Solving
16x2 + -16y2 = 0

Solving for variable 'x'.

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

Add '16y2' to each side of the equation.
16x2 + -16y2 + 16y2 = 0 + 16y2

Combine like terms: -16y2 + 16y2 = 0
16x2 + 0 = 0 + 16y2
16x2 = 0 + 16y2
Remove the zero:
16x2 = 16y2

Divide each side by '16'.
x2 = y2

Simplifying
x2 = y2

Take the square root of each side:
x = {-1y, y}

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