m^2(3m+5)(2m+1)(m-3)=0

Solution for m^2(3m+5)(2m+1)(m-3)=0 equation:

Simplifying
m2(3m + 5)(2m + 1)(m + -3) = 0

Reorder the terms:
m2(5 + 3m)(2m + 1)(m + -3) = 0

Reorder the terms:
m2(5 + 3m)(1 + 2m)(m + -3) = 0

Reorder the terms:
m2(5 + 3m)(1 + 2m)(-3 + m) = 0

Multiply (5 + 3m) * (1 + 2m)
m2(5(1 + 2m) + 3m * (1 + 2m))(-3 + m) = 0
m2((1 * 5 + 2m * 5) + 3m * (1 + 2m))(-3 + m) = 0
m2((5 + 10m) + 3m * (1 + 2m))(-3 + m) = 0
m2(5 + 10m + (1 * 3m + 2m * 3m))(-3 + m) = 0
m2(5 + 10m + (3m + 6m2))(-3 + m) = 0

Combine like terms: 10m + 3m = 13m
m2(5 + 13m + 6m2)(-3 + m) = 0

Multiply (5 + 13m + 6m2) * (-3 + m)
m2(5(-3 + m) + 13m * (-3 + m) + 6m2 * (-3 + m)) = 0
m2((-3 * 5 + m * 5) + 13m * (-3 + m) + 6m2 * (-3 + m)) = 0
m2((-15 + 5m) + 13m * (-3 + m) + 6m2 * (-3 + m)) = 0
m2(-15 + 5m + (-3 * 13m + m * 13m) + 6m2 * (-3 + m)) = 0
m2(-15 + 5m + (-39m + 13m2) + 6m2 * (-3 + m)) = 0
m2(-15 + 5m + -39m + 13m2 + (-3 * 6m2 + m * 6m2)) = 0
m2(-15 + 5m + -39m + 13m2 + (-18m2 + 6m3)) = 0

Combine like terms: 5m + -39m = -34m
m2(-15 + -34m + 13m2 + -18m2 + 6m3) = 0

Combine like terms: 13m2 + -18m2 = -5m2
m2(-15 + -34m + -5m2 + 6m3) = 0
(-15 * m2 + -34m * m2 + -5m2 * m2 + 6m3 * m2) = 0
(-15m2 + -34m3 + -5m4 + 6m5) = 0

Solving
-15m2 + -34m3 + -5m4 + 6m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-15 + -34m + -5m2 + 6m3) = 0

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 '(-15 + -34m + -5m2 + 6m3)' equal to zero and attempt to solve:

Simplifying
-15 + -34m + -5m2 + 6m3 = 0

Solving
-15 + -34m + -5m2 + 6m3 = 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}