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Simplifying
(8v + -3u)(8v + 3u) = 0
Reorder the terms:
(-3u + 8v)(8v + 3u) = 0
Reorder the terms:
(-3u + 8v)(3u + 8v) = 0
Multiply (-3u + 8v) * (3u + 8v)
(-3u * (3u + 8v) + 8v * (3u + 8v)) = 0
((3u * -3u + 8v * -3u) + 8v * (3u + 8v)) = 0
Reorder the terms:
((-24uv + -9u2) + 8v * (3u + 8v)) = 0
((-24uv + -9u2) + 8v * (3u + 8v)) = 0
(-24uv + -9u2 + (3u * 8v + 8v * 8v)) = 0
(-24uv + -9u2 + (24uv + 64v2)) = 0
Reorder the terms:
(-24uv + 24uv + -9u2 + 64v2) = 0
Combine like terms: -24uv + 24uv = 0
(0 + -9u2 + 64v2) = 0
(-9u2 + 64v2) = 0
Solving
-9u2 + 64v2 = 0
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-64v2' to each side of the equation.
-9u2 + 64v2 + -64v2 = 0 + -64v2
Combine like terms: 64v2 + -64v2 = 0
-9u2 + 0 = 0 + -64v2
-9u2 = 0 + -64v2
Remove the zero:
-9u2 = -64v2
Divide each side by '-9'.
u2 = 7.111111111v2
Simplifying
u2 = 7.111111111v2
Take the square root of each side:
u = {-2.666666667v, 2.666666667v}
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