3m^5-30m^3+63m=0

Solution for 3m^5-30m^3+63m=0 equation:

Simplifying
3m5 + -30m3 + 63m = 0

Reorder the terms:
63m + -30m3 + 3m5 = 0

Solving
63m + -30m3 + 3m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(21 + -10m2 + m4) = 0

Factor a trinomial.
3m((3 + -1m2)(7 + -1m2)) = 0

Ignore the factor 3.
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 '(3 + -1m2)' equal to zero and attempt to solve:

Simplifying
3 + -1m2 = 0

Solving
3 + -1m2 = 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 + -1m2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m2 = 0 + -3
-1m2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1m2 = -3

Divide each side by '-1'.
m2 = 3

Simplifying
m2 = 3

Take the square root of each side:
m = {-1.732050808, 1.732050808}
Subproblem 3
Set the factor '(7 + -1m2)' equal to zero and attempt to solve:

Simplifying
7 + -1m2 = 0

Solving
7 + -1m2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m2 = 0 + -7
-1m2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1m2 = -7

Divide each side by '-1'.
m2 = 7

Simplifying
m2 = 7

Take the square root of each side:
m = {-2.645751311, 2.645751311}
Solution
m = {0, -1.732050808, 1.732050808, -2.645751311, 2.645751311}