m^4+3m^3=40m^2

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Solution for m^4+3m^3=40m^2 equation: 


Simplifying
m4 + 3m3 = 40m2

Reorder the terms:
3m3 + m4 = 40m2

Solving
3m3 + m4 = 40m2

Solving for variable 'm'.

Reorder the terms:
-40m2 + 3m3 + m4 = 40m2 + -40m2

Combine like terms: 40m2 + -40m2 = 0
-40m2 + 3m3 + m4 = 0

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-40 + 3m + m2) = 0

Factor a trinomial.
m2((-8 + -1m)(5 + -1m)) = 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 '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1m = 0 + 8
-1m = 0 + 8

Combine like terms: 0 + 8 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8

Subproblem 3
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {0, -8, 5}

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