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

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

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

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

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

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

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

Solving
2x2 + -2y2 = 0

Solving for variable 'x'.

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

Add '2y2' to each side of the equation.
2x2 + -2y2 + 2y2 = 0 + 2y2

Combine like terms: -2y2 + 2y2 = 0
2x2 + 0 = 0 + 2y2
2x2 = 0 + 2y2
Remove the zero:
2x2 = 2y2

Divide each side by '2'.
x2 = y2

Simplifying
x2 = y2

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