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Simplifying
(5v + -6u)(5v + 6u) = 0
Reorder the terms:
(-6u + 5v)(5v + 6u) = 0
Reorder the terms:
(-6u + 5v)(6u + 5v) = 0
Multiply (-6u + 5v) * (6u + 5v)
(-6u * (6u + 5v) + 5v * (6u + 5v)) = 0
((6u * -6u + 5v * -6u) + 5v * (6u + 5v)) = 0
Reorder the terms:
((-30uv + -36u2) + 5v * (6u + 5v)) = 0
((-30uv + -36u2) + 5v * (6u + 5v)) = 0
(-30uv + -36u2 + (6u * 5v + 5v * 5v)) = 0
(-30uv + -36u2 + (30uv + 25v2)) = 0
Reorder the terms:
(-30uv + 30uv + -36u2 + 25v2) = 0
Combine like terms: -30uv + 30uv = 0
(0 + -36u2 + 25v2) = 0
(-36u2 + 25v2) = 0
Solving
-36u2 + 25v2 = 0
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-25v2' to each side of the equation.
-36u2 + 25v2 + -25v2 = 0 + -25v2
Combine like terms: 25v2 + -25v2 = 0
-36u2 + 0 = 0 + -25v2
-36u2 = 0 + -25v2
Remove the zero:
-36u2 = -25v2
Divide each side by '-36'.
u2 = 0.6944444444v2
Simplifying
u2 = 0.6944444444v2
Take the square root of each side:
u = {-0.833333333v, 0.833333333v}
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