x^2-32x-33=0

Solution for x^2-32x-33=0 equation:

Simplifying
x2 + -32x + -33 = 0

Reorder the terms:
-33 + -32x + x2 = 0

Solving
-33 + -32x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = -1

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

Simplifying
33 + -1x = 0

Solving
33 + -1x = 0

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

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

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

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

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

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