11x^2-31x-6=0

Solution for 11x^2-31x-6=0 equation:

Simplifying
11x2 + -31x + -6 = 0

Reorder the terms:
-6 + -31x + 11x2 = 0

Solving
-6 + -31x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -11x)(3 + -1x) = 0

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

Simplifying
-2 + -11x = 0

Solving
-2 + -11x = 0

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

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

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

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

Divide each side by '-11'.
x = -0.1818181818

Simplifying
x = -0.1818181818
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.1818181818, 3}