(x+y)(x-y)=118

Solution for (x+y)(x-y)=118 equation:

Simplifying
(x + y)(x + -1y) = 118

Multiply (x + y) * (x + -1y)
(x(x + -1y) + y(x + -1y)) = 118
((x * x + -1y * x) + y(x + -1y)) = 118

Reorder the terms:
((-1xy + x2) + y(x + -1y)) = 118
((-1xy + x2) + y(x + -1y)) = 118
(-1xy + x2 + (x * y + -1y * y)) = 118
(-1xy + x2 + (xy + -1y2)) = 118

Reorder the terms:
(-1xy + xy + x2 + -1y2) = 118

Combine like terms: -1xy + xy = 0
(0 + x2 + -1y2) = 118
(x2 + -1y2) = 118

Solving
x2 + -1y2 = 118

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 = 118 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 118 + y2
x2 = 118 + y2

Simplifying
x2 = 118 + y2

Reorder the terms:
-118 + x2 + -1y2 = 118 + y2 + -118 + -1y2

Reorder the terms:
-118 + x2 + -1y2 = 118 + -118 + y2 + -1y2

Combine like terms: 118 + -118 = 0
-118 + x2 + -1y2 = 0 + y2 + -1y2
-118 + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-118 + x2 + -1y2 = 0

The solution to this equation could not be determined.