-5m^2(-9m^2+m^3-10)-3m(10m^3-4m^4)=0

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Solution for -5m^2(-9m^2+m^3-10)-3m(10m^3-4m^4)=0 equation: 


Simplifying
-5m2(-9m2 + m3 + -10) + -3m(10m3 + -4m4) = 0

Reorder the terms:
-5m2(-10 + -9m2 + m3) + -3m(10m3 + -4m4) = 0
(-10 * -5m2 + -9m2 * -5m2 + m3 * -5m2) + -3m(10m3 + -4m4) = 0
(50m2 + 45m4 + -5m5) + -3m(10m3 + -4m4) = 0
50m2 + 45m4 + -5m5 + (10m3 * -3m + -4m4 * -3m) = 0
50m2 + 45m4 + -5m5 + (-30m4 + 12m5) = 0

Reorder the terms:
50m2 + 45m4 + -30m4 + -5m5 + 12m5 = 0

Combine like terms: 45m4 + -30m4 = 15m4
50m2 + 15m4 + -5m5 + 12m5 = 0

Combine like terms: -5m5 + 12m5 = 7m5
50m2 + 15m4 + 7m5 = 0

Solving
50m2 + 15m4 + 7m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(50 + 15m2 + 7m3) = 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 '(50 + 15m2 + 7m3)' equal to zero and attempt to solve:

Simplifying
50 + 15m2 + 7m3 = 0

Solving
50 + 15m2 + 7m3 = 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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