m^2-18m+65=-7

Solution for m^2-18m+65=-7 equation:

Simplifying
m2 + -18m + 65 = -7

Reorder the terms:
65 + -18m + m2 = -7

Solving
65 + -18m + m2 = -7

Solving for variable 'm'.

Reorder the terms:
65 + 7 + -18m + m2 = -7 + 7

Combine like terms: 65 + 7 = 72
72 + -18m + m2 = -7 + 7

Combine like terms: -7 + 7 = 0
72 + -18m + m2 = 0

Factor a trinomial.
(6 + -1m)(12 + -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 '(12 + -1m)' equal to zero and attempt to solve:

Simplifying
12 + -1m = 0

Solving
12 + -1m = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1m = 0 + -12

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

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

Divide each side by '-1'.
m = 12

Simplifying
m = 12
Solution
m = {6, 12}