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

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


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

Reorder the terms:
(-8u + 3v)(3v + -8u) = 0

Reorder the terms:
(-8u + 3v)(-8u + 3v) = 0

Multiply (-8u + 3v) * (-8u + 3v)
(-8u * (-8u + 3v) + 3v * (-8u + 3v)) = 0
((-8u * -8u + 3v * -8u) + 3v * (-8u + 3v)) = 0

Reorder the terms:
((-24uv + 64u2) + 3v * (-8u + 3v)) = 0
((-24uv + 64u2) + 3v * (-8u + 3v)) = 0
(-24uv + 64u2 + (-8u * 3v + 3v * 3v)) = 0
(-24uv + 64u2 + (-24uv + 9v2)) = 0

Reorder the terms:
(-24uv + -24uv + 64u2 + 9v2) = 0

Combine like terms: -24uv + -24uv = -48uv
(-48uv + 64u2 + 9v2) = 0

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

Solving for variable 'u'.

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


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

Simplifying
8u + -3v = 0

Solving
8u + -3v = 0

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

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

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

Divide each side by '8'.
u = 0.375v

Simplifying
u = 0.375v

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

Simplifying
8u + -3v = 0

Solving
8u + -3v = 0

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

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

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

Divide each side by '8'.
u = 0.375v

Simplifying
u = 0.375v
Solution
u = {0.375v, 0.375v}

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