11x^2+17x+6=0

Solution for 11x^2+17x+6=0 equation:

Simplifying
11x2 + 17x + 6 = 0

Reorder the terms:
6 + 17x + 11x2 = 0

Solving
6 + 17x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(6 + 11x) = 0

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(6 + 11x)' equal to zero and attempt to solve:

Simplifying
6 + 11x = 0

Solving
6 + 11x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 11x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 0 + -6
11x = 0 + -6

Combine like terms: 0 + -6 = -6
11x = -6

Divide each side by '11'.
x = -0.5454545455

Simplifying
x = -0.5454545455
Solution
x = {-1, -0.5454545455}