m^2-6m-33=-6

Solution for m^2-6m-33=-6 equation:

Simplifying
m2 + -6m + -33 = -6

Reorder the terms:
-33 + -6m + m2 = -6

Solving
-33 + -6m + m2 = -6

Solving for variable 'm'.

Reorder the terms:
-33 + 6 + -6m + m2 = -6 + 6

Combine like terms: -33 + 6 = -27
-27 + -6m + m2 = -6 + 6

Combine like terms: -6 + 6 = 0
-27 + -6m + m2 = 0

Factor a trinomial.
(-3 + -1m)(9 + -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 '(9 + -1m)' equal to zero and attempt to solve:

Simplifying
9 + -1m = 0

Solving
9 + -1m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = 0 + -9
-1m = 0 + -9

Combine like terms: 0 + -9 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9
Solution
m = {-3, 9}