m^3-29m^2n+120mn^2=0

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Solution for m^3-29m^2n+120mn^2=0 equation: 


Simplifying
m3 + -29m2n + 120mn2 = 0

Reorder the terms:
120mn2 + -29m2n + m3 = 0

Solving
120mn2 + -29m2n + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(120n2 + -29mn + m2) = 0

Factor a trinomial.
m((5n + -1m)(24n + -1m)) = 0


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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(5n + -1m)' equal to zero and attempt to solve:

Simplifying
5n + -1m = 0

Reorder the terms:
-1m + 5n = 0

Solving
-1m + 5n = 0

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

Add '-5n' to each side of the equation.
-1m + 5n + -5n = 0 + -5n

Combine like terms: 5n + -5n = 0
-1m + 0 = 0 + -5n
-1m = 0 + -5n
Remove the zero:
-1m = -5n

Divide each side by '-1'.
m = 5n

Simplifying
m = 5n

Subproblem 3
Set the factor '(24n + -1m)' equal to zero and attempt to solve:

Simplifying
24n + -1m = 0

Reorder the terms:
-1m + 24n = 0

Solving
-1m + 24n = 0

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

Add '-24n' to each side of the equation.
-1m + 24n + -24n = 0 + -24n

Combine like terms: 24n + -24n = 0
-1m + 0 = 0 + -24n
-1m = 0 + -24n
Remove the zero:
-1m = -24n

Divide each side by '-1'.
m = 24n

Simplifying
m = 24n
Solution
m = {0, 5n, 24n}

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