x*x-v*v=

Solution for x*x-v*v= equation:

Simplifying
x * x + -1v * v = 0

Multiply x * x
x2 + -1v * v = 0

Multiply v * v
x2 + -1v2 = 0

Reorder the terms:
-1v2 + x2 = 0

Solving
-1v2 + x2 = 0

Solving for variable 'v'.

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

Add '-1x2' to each side of the equation.
-1v2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-1v2 + 0 = 0 + -1x2
-1v2 = 0 + -1x2
Remove the zero:
-1v2 = -1x2

Divide each side by '-1'.
v2 = x2

Simplifying
v2 = x2

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