5m^2(3m^3+5m^2-4m+6)=

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Solution for 5m^2(3m^3+5m^2-4m+6)= equation: 


Simplifying
5m2(3m3 + 5m2 + -4m + 6) = 0

Reorder the terms:
5m2(6 + -4m + 5m2 + 3m3) = 0
(6 * 5m2 + -4m * 5m2 + 5m2 * 5m2 + 3m3 * 5m2) = 0
(30m2 + -20m3 + 25m4 + 15m5) = 0

Solving
30m2 + -20m3 + 25m4 + 15m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m2'.
5m2(6 + -4m + 5m2 + 3m3) = 0

Ignore the factor 5.

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 '(6 + -4m + 5m2 + 3m3)' equal to zero and attempt to solve:

Simplifying
6 + -4m + 5m2 + 3m3 = 0

Solving
6 + -4m + 5m2 + 3m3 = 0

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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