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Simplifying
(u + v)(u + -1v) = 0
Multiply (u + v) * (u + -1v)
(u(u + -1v) + v(u + -1v)) = 0
((u * u + -1v * u) + v(u + -1v)) = 0
Reorder the terms:
((-1uv + u2) + v(u + -1v)) = 0
((-1uv + u2) + v(u + -1v)) = 0
(-1uv + u2 + (u * v + -1v * v)) = 0
(-1uv + u2 + (uv + -1v2)) = 0
Reorder the terms:
(-1uv + uv + u2 + -1v2) = 0
Combine like terms: -1uv + uv = 0
(0 + u2 + -1v2) = 0
(u2 + -1v2) = 0
Solving
u2 + -1v2 = 0
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add 'v2' to each side of the equation.
u2 + -1v2 + v2 = 0 + v2
Combine like terms: -1v2 + v2 = 0
u2 + 0 = 0 + v2
u2 = 0 + v2
Remove the zero:
u2 = v2
Simplifying
u2 = v2
Take the square root of each side:
u = {-1v, v}
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