(-3u-5v)(3u+5v)=

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Solution for (-3u-5v)(3u+5v)= equation: 


Simplifying
(-3u + -5v)(3u + 5v) = 0

Multiply (-3u + -5v) * (3u + 5v)
(-3u * (3u + 5v) + -5v * (3u + 5v)) = 0
((3u * -3u + 5v * -3u) + -5v * (3u + 5v)) = 0

Reorder the terms:
((-15uv + -9u2) + -5v * (3u + 5v)) = 0
((-15uv + -9u2) + -5v * (3u + 5v)) = 0
(-15uv + -9u2 + (3u * -5v + 5v * -5v)) = 0
(-15uv + -9u2 + (-15uv + -25v2)) = 0

Reorder the terms:
(-15uv + -15uv + -9u2 + -25v2) = 0

Combine like terms: -15uv + -15uv = -30uv
(-30uv + -9u2 + -25v2) = 0

Solving
-30uv + -9u2 + -25v2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(30uv + 9u2 + 25v2) = 0

Factor a trinomial.
-1((3u + 5v)(3u + 5v)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3u + 5v)' equal to zero and attempt to solve:

Simplifying
3u + 5v = 0

Solving
3u + 5v = 0

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

Add '-5v' to each side of the equation.
3u + 5v + -5v = 0 + -5v

Combine like terms: 5v + -5v = 0
3u + 0 = 0 + -5v
3u = 0 + -5v
Remove the zero:
3u = -5v

Divide each side by '3'.
u = -1.666666667v

Simplifying
u = -1.666666667v

Subproblem 2
Set the factor '(3u + 5v)' equal to zero and attempt to solve:

Simplifying
3u + 5v = 0

Solving
3u + 5v = 0

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

Add '-5v' to each side of the equation.
3u + 5v + -5v = 0 + -5v

Combine like terms: 5v + -5v = 0
3u + 0 = 0 + -5v
3u = 0 + -5v
Remove the zero:
3u = -5v

Divide each side by '3'.
u = -1.666666667v

Simplifying
u = -1.666666667v
Solution
u = {-1.666666667v, -1.666666667v}

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