m^2-12m+45=-3+2m

Solution for m^2-12m+45=-3+2m equation:

Simplifying
m2 + -12m + 45 = -3 + 2m

Reorder the terms:
45 + -12m + m2 = -3 + 2m

Solving
45 + -12m + m2 = -3 + 2m

Solving for variable 'm'.

Reorder the terms:
45 + 3 + -12m + -2m + m2 = -3 + 2m + 3 + -2m

Combine like terms: 45 + 3 = 48
48 + -12m + -2m + m2 = -3 + 2m + 3 + -2m

Combine like terms: -12m + -2m = -14m
48 + -14m + m2 = -3 + 2m + 3 + -2m

Reorder the terms:
48 + -14m + m2 = -3 + 3 + 2m + -2m

Combine like terms: -3 + 3 = 0
48 + -14m + m2 = 0 + 2m + -2m
48 + -14m + m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
48 + -14m + m2 = 0

Factor a trinomial.
(6 + -1m)(8 + -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 '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {6, 8}