60m^3+54m^2-6m=0

Solution for 60m^3+54m^2-6m=0 equation:

Simplifying
60m3 + 54m2 + -6m = 0

Reorder the terms:
-6m + 54m2 + 60m3 = 0

Solving
-6m + 54m2 + 60m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(-1 + 9m + 10m2) = 0

Factor a trinomial.
6m((-1 + -1m)(1 + -10m)) = 0

Ignore the factor 6.
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 '(-1 + -1m)' equal to zero and attempt to solve:

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1m = 0 + 1
-1m = 0 + 1

Combine like terms: 0 + 1 = 1
-1m = 1

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

Simplifying
m = -1
Subproblem 3
Set the factor '(1 + -10m)' equal to zero and attempt to solve:

Simplifying
1 + -10m = 0

Solving
1 + -10m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -10m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10m = 0 + -1
-10m = 0 + -1

Combine like terms: 0 + -1 = -1
-10m = -1

Divide each side by '-10'.
m = 0.1

Simplifying
m = 0.1
Solution
m = {0, -1, 0.1}