(5m^3+2m^2-m)(m^2+4m-2)=

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


Simplifying
(5m3 + 2m2 + -1m)(m2 + 4m + -2) = 0

Reorder the terms:
(-1m + 2m2 + 5m3)(m2 + 4m + -2) = 0

Reorder the terms:
(-1m + 2m2 + 5m3)(-2 + 4m + m2) = 0

Multiply (-1m + 2m2 + 5m3) * (-2 + 4m + m2)
(-1m * (-2 + 4m + m2) + 2m2 * (-2 + 4m + m2) + 5m3 * (-2 + 4m + m2)) = 0
((-2 * -1m + 4m * -1m + m2 * -1m) + 2m2 * (-2 + 4m + m2) + 5m3 * (-2 + 4m + m2)) = 0
((2m + -4m2 + -1m3) + 2m2 * (-2 + 4m + m2) + 5m3 * (-2 + 4m + m2)) = 0
(2m + -4m2 + -1m3 + (-2 * 2m2 + 4m * 2m2 + m2 * 2m2) + 5m3 * (-2 + 4m + m2)) = 0
(2m + -4m2 + -1m3 + (-4m2 + 8m3 + 2m4) + 5m3 * (-2 + 4m + m2)) = 0
(2m + -4m2 + -1m3 + -4m2 + 8m3 + 2m4 + (-2 * 5m3 + 4m * 5m3 + m2 * 5m3)) = 0
(2m + -4m2 + -1m3 + -4m2 + 8m3 + 2m4 + (-10m3 + 20m4 + 5m5)) = 0

Reorder the terms:
(2m + -4m2 + -4m2 + -1m3 + 8m3 + -10m3 + 2m4 + 20m4 + 5m5) = 0

Combine like terms: -4m2 + -4m2 = -8m2
(2m + -8m2 + -1m3 + 8m3 + -10m3 + 2m4 + 20m4 + 5m5) = 0

Combine like terms: -1m3 + 8m3 = 7m3
(2m + -8m2 + 7m3 + -10m3 + 2m4 + 20m4 + 5m5) = 0

Combine like terms: 7m3 + -10m3 = -3m3
(2m + -8m2 + -3m3 + 2m4 + 20m4 + 5m5) = 0

Combine like terms: 2m4 + 20m4 = 22m4
(2m + -8m2 + -3m3 + 22m4 + 5m5) = 0

Solving
2m + -8m2 + -3m3 + 22m4 + 5m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(2 + -8m + -3m2 + 22m3 + 5m4) = 0


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 '(2 + -8m + -3m2 + 22m3 + 5m4)' equal to zero and attempt to solve:

Simplifying
2 + -8m + -3m2 + 22m3 + 5m4 = 0

Solving
2 + -8m + -3m2 + 22m3 + 5m4 = 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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