11x^2-20x-39=0

Solution for 11x^2-20x-39=0 equation:

Simplifying
11x2 + -20x + -39 = 0

Reorder the terms:
-39 + -20x + 11x2 = 0

Solving
-39 + -20x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -11x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -11x)' equal to zero and attempt to solve:

Simplifying
-13 + -11x = 0

Solving
-13 + -11x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -11x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -11x = 0 + 13
-11x = 0 + 13

Combine like terms: 0 + 13 = 13
-11x = 13

Divide each side by '-11'.
x = -1.181818182

Simplifying
x = -1.181818182
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 = {-1.181818182, 3}