11x^2+42x-65=0

Solution for 11x^2+42x-65=0 equation:

Simplifying
11x2 + 42x + -65 = 0

Reorder the terms:
-65 + 42x + 11x2 = 0

Solving
-65 + 42x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(13 + -11x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
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
Solution
x = {-5, 1.181818182}