vm^3=5vm^2+cm^3

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Solution for vm^3=5vm^2+cm^3 equation: 


Simplifying
vm3 = 5vm2 + cm3

Reorder the terms:
m3v = cm3 + 5m2v

Solving
m3v = cm3 + 5m2v

Solving for variable 'm'.

Reorder the terms:
-1cm3 + -5m2v + m3v = cm3 + 5m2v + -1cm3 + -5m2v

Reorder the terms:
-1cm3 + -5m2v + m3v = cm3 + -1cm3 + 5m2v + -5m2v

Combine like terms: cm3 + -1cm3 = 0
-1cm3 + -5m2v + m3v = 0 + 5m2v + -5m2v
-1cm3 + -5m2v + m3v = 5m2v + -5m2v

Combine like terms: 5m2v + -5m2v = 0
-1cm3 + -5m2v + m3v = 0

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-1cm + -5v + mv) = 0


Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}

Subproblem 2
Set the factor '(-1cm + -5v + mv)' equal to zero and attempt to solve:

Simplifying
-1cm + -5v + mv = 0

Reorder the terms:
-1cm + mv + -5v = 0

Solving
-1cm + mv + -5v = 0

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

Add '5v' to each side of the equation.
-1cm + mv + -5v + 5v = 0 + 5v

Combine like terms: -5v + 5v = 0
-1cm + mv + 0 = 0 + 5v
-1cm + mv = 0 + 5v
Remove the zero:
-1cm + mv = 5v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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