(4u-9v)(4u-9v)=

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Solution for (4u-9v)(4u-9v)= equation: 


Simplifying
(4u + -9v)(4u + -9v) = 0

Multiply (4u + -9v) * (4u + -9v)
(4u * (4u + -9v) + -9v * (4u + -9v)) = 0
((4u * 4u + -9v * 4u) + -9v * (4u + -9v)) = 0

Reorder the terms:
((-36uv + 16u2) + -9v * (4u + -9v)) = 0
((-36uv + 16u2) + -9v * (4u + -9v)) = 0
(-36uv + 16u2 + (4u * -9v + -9v * -9v)) = 0
(-36uv + 16u2 + (-36uv + 81v2)) = 0

Reorder the terms:
(-36uv + -36uv + 16u2 + 81v2) = 0

Combine like terms: -36uv + -36uv = -72uv
(-72uv + 16u2 + 81v2) = 0

Solving
-72uv + 16u2 + 81v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(4u + -9v)(4u + -9v) = 0


Subproblem 1
Set the factor '(4u + -9v)' equal to zero and attempt to solve:

Simplifying
4u + -9v = 0

Solving
4u + -9v = 0

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

Add '9v' to each side of the equation.
4u + -9v + 9v = 0 + 9v

Combine like terms: -9v + 9v = 0
4u + 0 = 0 + 9v
4u = 0 + 9v
Remove the zero:
4u = 9v

Divide each side by '4'.
u = 2.25v

Simplifying
u = 2.25v

Subproblem 2
Set the factor '(4u + -9v)' equal to zero and attempt to solve:

Simplifying
4u + -9v = 0

Solving
4u + -9v = 0

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

Add '9v' to each side of the equation.
4u + -9v + 9v = 0 + 9v

Combine like terms: -9v + 9v = 0
4u + 0 = 0 + 9v
4u = 0 + 9v
Remove the zero:
4u = 9v

Divide each side by '4'.
u = 2.25v

Simplifying
u = 2.25v
Solution
u = {2.25v, 2.25v}

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