(y+w)(y-w)=

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

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

Reorder the terms:
(w + y)(y + -1w) = 0

Reorder the terms:
(w + y)(-1w + y) = 0

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

Reorder the terms:
((wy + -1w2) + y(-1w + y)) = 0
((wy + -1w2) + y(-1w + y)) = 0
(wy + -1w2 + (-1w * y + y * y)) = 0
(wy + -1w2 + (-1wy + y2)) = 0

Reorder the terms:
(wy + -1wy + -1w2 + y2) = 0

Combine like terms: wy + -1wy = 0
(0 + -1w2 + y2) = 0
(-1w2 + y2) = 0

Solving
-1w2 + y2 = 0

Solving for variable 'w'.

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

Add '-1y2' to each side of the equation.
-1w2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-1w2 + 0 = 0 + -1y2
-1w2 = 0 + -1y2
Remove the zero:
-1w2 = -1y2

Divide each side by '-1'.
w2 = y2

Simplifying
w2 = y2

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