m^2=12+m

Solution for m^2=12+m equation:

Simplifying
m2 = 12 + m

Solving
m2 = 12 + m

Solving for variable 'm'.

Reorder the terms:
-12 + -1m + m2 = 12 + m + -12 + -1m

Reorder the terms:
-12 + -1m + m2 = 12 + -12 + m + -1m

Combine like terms: 12 + -12 = 0
-12 + -1m + m2 = 0 + m + -1m
-12 + -1m + m2 = m + -1m

Combine like terms: m + -1m = 0
-12 + -1m + m2 = 0

Factor a trinomial.
(-3 + -1m)(4 + -1m) = 0

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

Simplifying
-3 + -1m = 0

Solving
-3 + -1m = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1m = 0 + 3
-1m = 0 + 3

Combine like terms: 0 + 3 = 3
-1m = 3

Divide each side by '-1'.
m = -3

Simplifying
m = -3
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 = {-3, 4}