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

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

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

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

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

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

Combine like terms: xy + -1xy = 0
y(0 + x2 + -1y2) = 0
y(x2 + -1y2) = 0
(x2 * y + -1y2 * y) = 0
(x2y + -1y3) = 0

Solving
x2y + -1y3 = 0

Solving for variable 'x'.

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

Add 'y3' to each side of the equation.
x2y + -1y3 + y3 = 0 + y3

Combine like terms: -1y3 + y3 = 0
x2y + 0 = 0 + y3
x2y = 0 + y3
Remove the zero:
x2y = y3

Divide each side by 'y'.
x2 = y2

Simplifying
x2 = y2

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