4m^6-30m^5+36m^4=0

Solution for 4m^6-30m^5+36m^4=0 equation:

Simplifying
4m6 + -30m5 + 36m4 = 0

Reorder the terms:
36m4 + -30m5 + 4m6 = 0

Solving
36m4 + -30m5 + 4m6 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m4'.
2m4(18 + -15m + 2m2) = 0

Factor a trinomial.
2m4((3 + -2m)(6 + -1m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'm4' equal to zero and attempt to solve:

Simplifying
m4 = 0

Solving
m4 = 0

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

Simplifying
m4 = 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 '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

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

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Subproblem 3
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {1.5, 6}