-m^2+32m+33=0

Solution for -m^2+32m+33=0 equation:

Simplifying
-1m2 + 32m + 33 = 0

Reorder the terms:
33 + 32m + -1m2 = 0

Solving
33 + 32m + -1m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(33 + -1m)(1 + m) = 0

Subproblem 1
Set the factor '(33 + -1m)' equal to zero and attempt to solve:

Simplifying
33 + -1m = 0

Solving
33 + -1m = 0

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

Add '-33' to each side of the equation.
33 + -33 + -1m = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1m = 0 + -33
-1m = 0 + -33

Combine like terms: 0 + -33 = -33
-1m = -33

Divide each side by '-1'.
m = 33

Simplifying
m = 33
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 0

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

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

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

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

Simplifying
m = -1
Solution
m = {33, -1}