33x^2-49x-20=0

Solution for 33x^2-49x-20=0 equation:

Simplifying
33x2 + -49x + -20 = 0

Reorder the terms:
-20 + -49x + 33x2 = 0

Solving
-20 + -49x + 33x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(20 + -11x) = 0

Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Subproblem 2
Set the factor '(20 + -11x)' equal to zero and attempt to solve:

Simplifying
20 + -11x = 0

Solving
20 + -11x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -11x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -11x = 0 + -20
-11x = 0 + -20

Combine like terms: 0 + -20 = -20
-11x = -20

Divide each side by '-11'.
x = 1.818181818

Simplifying
x = 1.818181818
Solution
x = {-0.3333333333, 1.818181818}