11x^2+23x+12=0

Solution for 11x^2+23x+12=0 equation:

Simplifying
11x2 + 23x + 12 = 0

Reorder the terms:
12 + 23x + 11x2 = 0

Solving
12 + 23x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + 11x)(1 + x) = 0

Subproblem 1
Set the factor '(12 + 11x)' equal to zero and attempt to solve:

Simplifying
12 + 11x = 0

Solving
12 + 11x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 11x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 0 + -12
11x = 0 + -12

Combine like terms: 0 + -12 = -12
11x = -12

Divide each side by '11'.
x = -1.090909091

Simplifying
x = -1.090909091
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 = {-1.090909091, -1}