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

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


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

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

Combine like terms: -4m + m = -3m
(-3m + 2m2 + 5m3) + -1(4m3 + m2 + -1m) = 0

Remove parenthesis around (-3m + 2m2 + 5m3)
-3m + 2m2 + 5m3 + -1(4m3 + m2 + -1m) = 0

Reorder the terms:
-3m + 2m2 + 5m3 + -1(-1m + m2 + 4m3) = 0
-3m + 2m2 + 5m3 + (-1m * -1 + m2 * -1 + 4m3 * -1) = 0
-3m + 2m2 + 5m3 + (1m + -1m2 + -4m3) = 0

Reorder the terms:
-3m + 1m + 2m2 + -1m2 + 5m3 + -4m3 = 0

Combine like terms: -3m + 1m = -2m
-2m + 2m2 + -1m2 + 5m3 + -4m3 = 0

Combine like terms: 2m2 + -1m2 = 1m2
-2m + 1m2 + 5m3 + -4m3 = 0

Combine like terms: 5m3 + -4m3 = 1m3
-2m + 1m2 + 1m3 = 0

Solving
-2m + 1m2 + 1m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + m + m2) = 0

Factor a trinomial.
m((-2 + -1m)(1 + -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 '(-2 + -1m)' equal to zero and attempt to solve:

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 0 + 2
-1m = 0 + 2

Combine like terms: 0 + 2 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1
Solution
m = {0, -2, 1}

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