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

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

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

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

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

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

Combine like terms: -4xy + 4xy = 0
4(0 + x2 + -16y2) = 0
4(x2 + -16y2) = 0
(x2 * 4 + -16y2 * 4) = 0
(4x2 + -64y2) = 0

Solving
4x2 + -64y2 = 0

Solving for variable 'x'.

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

Add '64y2' to each side of the equation.
4x2 + -64y2 + 64y2 = 0 + 64y2

Combine like terms: -64y2 + 64y2 = 0
4x2 + 0 = 0 + 64y2
4x2 = 0 + 64y2
Remove the zero:
4x2 = 64y2

Divide each side by '4'.
x2 = 16y2

Simplifying
x2 = 16y2

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