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

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

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

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

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

Reorder the terms:
(-2xy + 2xy + x2 + -4y2) = 0

Combine like terms: -2xy + 2xy = 0
(0 + x2 + -4y2) = 0
(x2 + -4y2) = 0

Solving
x2 + -4y2 = 0

Solving for variable 'x'.

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

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

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

Simplifying
x2 = 4y2

Take the square root of each side:
x = {-2y, 2y}