x*x-v=w*w

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


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

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

Reorder the terms:
-1v + x2 = w * w

Multiply w * w
-1v + x2 = w2

Solving
-1v + x2 = w2

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.
-1v + x2 + -1x2 = w2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1v + 0 = w2 + -1x2
-1v = w2 + -1x2

Divide each side by '-1'.
v = -1w2 + x2

Simplifying
v = -1w2 + x2

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