-14x^2-x+33=0

Solution for -14x^2-x+33=0 equation:

Simplifying
-14x2 + -1x + 33 = 0

Reorder the terms:
33 + -1x + -14x2 = 0

Solving
33 + -1x + -14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -2x)(11 + 7x) = 0

Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Subproblem 2
Set the factor '(11 + 7x)' equal to zero and attempt to solve:

Simplifying
11 + 7x = 0

Solving
11 + 7x = 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 + 7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 0 + -11
7x = 0 + -11

Combine like terms: 0 + -11 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571
Solution
x = {1.5, -1.571428571}