m(n^2-1)+m(n-1)=

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Solution for m(n^2-1)+m(n-1)= equation: 


Simplifying
m(n2 + -1) + m(n + -1) = 0

Reorder the terms:
m(-1 + n2) + m(n + -1) = 0
(-1 * m + n2 * m) + m(n + -1) = 0
(-1m + mn2) + m(n + -1) = 0

Reorder the terms:
-1m + mn2 + m(-1 + n) = 0
-1m + mn2 + (-1 * m + n * m) = 0
-1m + mn2 + (-1m + mn) = 0

Reorder the terms:
-1m + -1m + mn + mn2 = 0

Combine like terms: -1m + -1m = -2m
-2m + mn + mn2 = 0

Solving
-2m + mn + mn2 = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + n + n2) = 0

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

Simplifying
-2 + -1n = 0

Solving
-2 + -1n = 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 + -1n = 0 + 2

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

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

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

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

Simplifying
0 = 2 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 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 + -1n = 0 + -1

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

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

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

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

Simplifying
0 = -1 + n

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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