m^2+m-32=-2

Solution for m^2+m-32=-2 equation:

Simplifying
m2 + m + -32 = -2

Reorder the terms:
-32 + m + m2 = -2

Solving
-32 + m + m2 = -2

Solving for variable 'm'.

Reorder the terms:
-32 + 2 + m + m2 = -2 + 2

Combine like terms: -32 + 2 = -30
-30 + m + m2 = -2 + 2

Combine like terms: -2 + 2 = 0
-30 + m + m2 = 0

Factor a trinomial.
(-6 + -1m)(5 + -1m) = 0

Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve:

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
Subproblem 2
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 = {-6, 5}