22x^2+127x+33=0

Solution for 22x^2+127x+33=0 equation:

Simplifying
22x2 + 127x + 33 = 0

Reorder the terms:
33 + 127x + 22x2 = 0

Solving
33 + 127x + 22x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 2x)(3 + 11x) = 0

Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve:

Simplifying
11 + 2x = 0

Solving
11 + 2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5
Subproblem 2
Set the factor '(3 + 11x)' equal to zero and attempt to solve:

Simplifying
3 + 11x = 0

Solving
3 + 11x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 11x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 0 + -3
11x = 0 + -3

Combine like terms: 0 + -3 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727
Solution
x = {-5.5, -0.2727272727}