u^5-6u^4v-27u^3v^2=

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Solution for u^5-6u^4v-27u^3v^2= equation: 


Simplifying
u5 + -6u4v + -27u3v2 = 0

Reorder the terms:
-27u3v2 + -6u4v + u5 = 0

Solving
-27u3v2 + -6u4v + u5 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u3'.
u3(-27v2 + -6uv + u2) = 0

Factor a trinomial.
u3((-3v + -1u)(9v + -1u)) = 0


Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve:

Simplifying
u3 = 0

Solving
u3 = 0

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

Simplifying
u3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3v + -1u)' equal to zero and attempt to solve:

Simplifying
-3v + -1u = 0

Reorder the terms:
-1u + -3v = 0

Solving
-1u + -3v = 0

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

Add '3v' to each side of the equation.
-1u + -3v + 3v = 0 + 3v

Combine like terms: -3v + 3v = 0
-1u + 0 = 0 + 3v
-1u = 0 + 3v
Remove the zero:
-1u = 3v

Divide each side by '-1'.
u = -3v

Simplifying
u = -3v

Subproblem 3
Set the factor '(9v + -1u)' equal to zero and attempt to solve:

Simplifying
9v + -1u = 0

Reorder the terms:
-1u + 9v = 0

Solving
-1u + 9v = 0

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

Add '-9v' to each side of the equation.
-1u + 9v + -9v = 0 + -9v

Combine like terms: 9v + -9v = 0
-1u + 0 = 0 + -9v
-1u = 0 + -9v
Remove the zero:
-1u = -9v

Divide each side by '-1'.
u = 9v

Simplifying
u = 9v
Solution
u = {-3v, 9v}

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