m^2=56m-m^3

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Solution for m^2=56m-m^3 equation: 


Simplifying
m2 = 56m + -1m3

Solving
m2 = 56m + -1m3

Solving for variable 'm'.

Reorder the terms:
-56m + m2 + m3 = 56m + -1m3 + -56m + m3

Reorder the terms:
-56m + m2 + m3 = 56m + -56m + -1m3 + m3

Combine like terms: 56m + -56m = 0
-56m + m2 + m3 = 0 + -1m3 + m3
-56m + m2 + m3 = -1m3 + m3

Combine like terms: -1m3 + m3 = 0
-56m + m2 + m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-56 + m + m2) = 0

Factor a trinomial.
m((-8 + -1m)(7 + -1m)) = 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 '(-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 '(7 + -1m)' equal to zero and attempt to solve:

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 0 + -7
-1m = 0 + -7

Combine like terms: 0 + -7 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7
Solution
m = {0, -8, 7}

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