m^2+m+12=32

Solution for m^2+m+12=32 equation:

Simplifying
m2 + m + 12 = 32

Reorder the terms:
12 + m + m2 = 32

Solving
12 + m + m2 = 32

Solving for variable 'm'.

Reorder the terms:
12 + -32 + m + m2 = 32 + -32

Combine like terms: 12 + -32 = -20
-20 + m + m2 = 32 + -32

Combine like terms: 32 + -32 = 0
-20 + m + m2 = 0

Factor a trinomial.
(-5 + -1m)(4 + -1m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-5, 4}