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

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

Simplifying
(-1x + -2y)(-1x + 2y) = 0

Multiply (-1x + -2y) * (-1x + 2y)
(-1x * (-1x + 2y) + -2y * (-1x + 2y)) = 0
((-1x * -1x + 2y * -1x) + -2y * (-1x + 2y)) = 0

Reorder the terms:
((-2xy + 1x2) + -2y * (-1x + 2y)) = 0
((-2xy + 1x2) + -2y * (-1x + 2y)) = 0
(-2xy + 1x2 + (-1x * -2y + 2y * -2y)) = 0
(-2xy + 1x2 + (2xy + -4y2)) = 0

Reorder the terms:
(-2xy + 2xy + 1x2 + -4y2) = 0

Combine like terms: -2xy + 2xy = 0
(0 + 1x2 + -4y2) = 0
(1x2 + -4y2) = 0

Solving
1x2 + -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.
1x2 + -4y2 + 4y2 = 0 + 4y2

Combine like terms: -4y2 + 4y2 = 0
1x2 + 0 = 0 + 4y2
1x2 = 0 + 4y2
Remove the zero:
1x2 = 4y2

Divide each side by '1'.
x2 = 4y2

Simplifying
x2 = 4y2

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