m^2=-36+12m

Solution for m^2=-36+12m equation:

Simplifying
m2 = -36 + 12m

Solving
m2 = -36 + 12m

Solving for variable 'm'.

Reorder the terms:
36 + -12m + m2 = -36 + 12m + 36 + -12m

Reorder the terms:
36 + -12m + m2 = -36 + 36 + 12m + -12m

Combine like terms: -36 + 36 = 0
36 + -12m + m2 = 0 + 12m + -12m
36 + -12m + m2 = 12m + -12m

Combine like terms: 12m + -12m = 0
36 + -12m + m2 = 0

Factor a trinomial.
(6 + -1m)(6 + -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 '(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
Solution
m = {6, 6}