12v^3f-36v^2f^2+27vf^3=

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Solution for 12v^3f-36v^2f^2+27vf^3= equation: 


Simplifying
12v3f + -36v2f2 + 27vf3 = 0

Solving
12fv3 + -36f2v2 + 27f3v = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '3fv'.
3fv(4v2 + -12fv + 9f2) = 0

Factor a trinomial.
3fv((2v + -3f)(2v + -3f)) = 0

Ignore the factor 3.

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

Simplifying
fv = 0

Solving
fv = 0

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

Simplifying
fv = 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 '(2v + -3f)' equal to zero and attempt to solve:

Simplifying
2v + -3f = 0

Reorder the terms:
-3f + 2v = 0

Solving
-3f + 2v = 0

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

Add '-2v' to each side of the equation.
-3f + 2v + -2v = 0 + -2v

Combine like terms: 2v + -2v = 0
-3f + 0 = 0 + -2v
-3f = 0 + -2v
Remove the zero:
-3f = -2v

Divide each side by '-3'.
f = 0.6666666667v

Simplifying
f = 0.6666666667v

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

Simplifying
2v + -3f = 0

Reorder the terms:
-3f + 2v = 0

Solving
-3f + 2v = 0

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

Add '-2v' to each side of the equation.
-3f + 2v + -2v = 0 + -2v

Combine like terms: 2v + -2v = 0
-3f + 0 = 0 + -2v
-3f = 0 + -2v
Remove the zero:
-3f = -2v

Divide each side by '-3'.
f = 0.6666666667v

Simplifying
f = 0.6666666667v
Solution
f = {0.6666666667v, 0.6666666667v}

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