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

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

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

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

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

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

Combine like terms: 4xy + -4xy = 0
(0 + x2 + -16y2) = 0
(x2 + -16y2) = 0

Solving
x2 + -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.
x2 + -16y2 + 16y2 = 0 + 16y2

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

Simplifying
x2 = 16y2

Take the square root of each side:
x = {-4y, 4y}