10m^5x^8-15m^3z^10=0

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Solution for 10m^5x^8-15m^3z^10=0 equation: 


Simplifying
10m5x8 + -15m3z10 = 0

Reorder the terms:
-15m3z10 + 10m5x8 = 0

Solving
-15m3z10 + 10m5x8 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m3'.
5m3(-3z10 + 2m2x8) = 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 '(-3z10 + 2m2x8)' equal to zero and attempt to solve:

Simplifying
-3z10 + 2m2x8 = 0

Reorder the terms:
2m2x8 + -3z10 = 0

Solving
2m2x8 + -3z10 = 0

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

Add '3z10' to each side of the equation.
2m2x8 + -3z10 + 3z10 = 0 + 3z10

Combine like terms: -3z10 + 3z10 = 0
2m2x8 + 0 = 0 + 3z10
2m2x8 = 0 + 3z10
Remove the zero:
2m2x8 = 3z10

Divide each side by '2x8'.
m2 = 1.5x-8z10

Simplifying
m2 = 1.5x-8z10

Take the square root of each side:
m = {-1.224744871x-4z5, 1.224744871x-4z5}
Solution
m = {-1.224744871x-4z5, 1.224744871x-4z5}

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