7x^2+18x+11=0

Solution for 7x^2+18x+11=0 equation:

Simplifying
7x2 + 18x + 11 = 0

Reorder the terms:
11 + 18x + 7x2 = 0

Solving
11 + 18x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 7x)(1 + x) = 0

Subproblem 1
Set the factor '(11 + 7x)' equal to zero and attempt to solve:

Simplifying
11 + 7x = 0

Solving
11 + 7x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 0 + -11
7x = 0 + -11

Combine like terms: 0 + -11 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571
Subproblem 2
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
Solution
x = {-1.571428571, -1}