(8v-3u)(8v-3u)=0

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Solution for (8v-3u)(8v-3u)=0 equation: 


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 = -48uv
(-48uv + 9u2 + 64v2) = 0

Solving
-48uv + 9u2 + 64v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3u + -8v)(3u + -8v) = 0


Subproblem 1
Set the factor '(3u + -8v)' equal to zero and attempt to solve:

Simplifying
3u + -8v = 0

Solving
3u + -8v = 0

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

Add '8v' to each side of the equation.
3u + -8v + 8v = 0 + 8v

Combine like terms: -8v + 8v = 0
3u + 0 = 0 + 8v
3u = 0 + 8v
Remove the zero:
3u = 8v

Divide each side by '3'.
u = 2.666666667v

Simplifying
u = 2.666666667v

Subproblem 2
Set the factor '(3u + -8v)' equal to zero and attempt to solve:

Simplifying
3u + -8v = 0

Solving
3u + -8v = 0

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

Add '8v' to each side of the equation.
3u + -8v + 8v = 0 + 8v

Combine like terms: -8v + 8v = 0
3u + 0 = 0 + 8v
3u = 0 + 8v
Remove the zero:
3u = 8v

Divide each side by '3'.
u = 2.666666667v

Simplifying
u = 2.666666667v
Solution
u = {2.666666667v, 2.666666667v}

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