m^2-8m-33=0

Solution for m^2-8m-33=0 equation:

Simplifying
m2 + -8m + -33 = 0

Reorder the terms:
-33 + -8m + m2 = 0

Solving
-33 + -8m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -1m)(11 + -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 '(11 + -1m)' equal to zero and attempt to solve:

Simplifying
11 + -1m = 0

Solving
11 + -1m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 0 + -11
-1m = 0 + -11

Combine like terms: 0 + -11 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11
Solution
m = {-3, 11}