10m*m^3-15n^2m=0

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Solution for 10m*m^3-15n^2m=0 equation: 


Simplifying
10m * m3 + -15n2m = 0

Multiply m * m3
10m4 + -15n2m = 0

Reorder the terms:
-15mn2 + 10m4 = 0

Solving
-15mn2 + 10m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m'.
5m(-3n2 + 2m3) = 0

Ignore the factor 5.

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 '(-3n2 + 2m3)' equal to zero and attempt to solve:

Simplifying
-3n2 + 2m3 = 0

Reorder the terms:
2m3 + -3n2 = 0

Solving
2m3 + -3n2 = 0

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

Add '3n2' to each side of the equation.
2m3 + -3n2 + 3n2 = 0 + 3n2

Combine like terms: -3n2 + 3n2 = 0
2m3 + 0 = 0 + 3n2
2m3 = 0 + 3n2
Remove the zero:
2m3 = 3n2

Divide each side by '2'.
m3 = 1.5n2

Simplifying
m3 = 1.5n2

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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