11x^2+18x=-17x-6

Solution for 11x^2+18x=-17x-6 equation:

Simplifying
11x2 + 18x = -17x + -6

Reorder the terms:
18x + 11x2 = -17x + -6

Reorder the terms:
18x + 11x2 = -6 + -17x

Solving
18x + 11x2 = -6 + -17x

Solving for variable 'x'.

Reorder the terms:
6 + 18x + 17x + 11x2 = -6 + -17x + 6 + 17x

Combine like terms: 18x + 17x = 35x
6 + 35x + 11x2 = -6 + -17x + 6 + 17x

Reorder the terms:
6 + 35x + 11x2 = -6 + 6 + -17x + 17x

Combine like terms: -6 + 6 = 0
6 + 35x + 11x2 = 0 + -17x + 17x
6 + 35x + 11x2 = -17x + 17x

Combine like terms: -17x + 17x = 0
6 + 35x + 11x2 = 0

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

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

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Subproblem 2
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
Solution
x = {-3, -0.1818181818}