-5m^3(7n^4-2mn^3+6)=0

Solution for -5m^3(7n^4-2mn^3+6)=0 equation:

Simplifying
-5m3(7n4 + -2mn3 + 6) = 0

Reorder the terms:
-5m3(6 + -2mn3 + 7n4) = 0
(6 * -5m3 + -2mn3 * -5m3 + 7n4 * -5m3) = 0

Reorder the terms:
(-30m3 + -35m3n4 + 10m4n3) = 0
(-30m3 + -35m3n4 + 10m4n3) = 0

Solving
-30m3 + -35m3n4 + 10m4n3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m3'.
5m3(-6 + -7n4 + 2mn3) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve:

Simplifying
m3 = 0

Solving
m3 = 0

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

Simplifying
m3 = 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 '(-6 + -7n4 + 2mn3)' equal to zero and attempt to solve:

Simplifying
-6 + -7n4 + 2mn3 = 0

Reorder the terms:
-6 + 2mn3 + -7n4 = 0

Solving
-6 + 2mn3 + -7n4 = 0

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

Add '6' to each side of the equation.
-6 + 2mn3 + 6 + -7n4 = 0 + 6

Reorder the terms:
-6 + 6 + 2mn3 + -7n4 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2mn3 + -7n4 = 0 + 6
2mn3 + -7n4 = 0 + 6

Combine like terms: 0 + 6 = 6
2mn3 + -7n4 = 6

Add '7n4' to each side of the equation.
2mn3 + -7n4 + 7n4 = 6 + 7n4

Combine like terms: -7n4 + 7n4 = 0
2mn3 + 0 = 6 + 7n4
2mn3 = 6 + 7n4

Divide each side by '2n3'.
m = 3n-3 + 3.5n

Simplifying
m = 3n-3 + 3.5n
Solution
m = {3n-3 + 3.5n}