0=11x^2-x-12

Solution for 0=11x^2-x-12 equation:

Simplifying
0 = 11x2 + -1x + -12

Reorder the terms:
0 = -12 + -1x + 11x2

Solving
0 = -12 + -1x + 11x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + x + -11x2 = -12 + -1x + 11x2 + 12 + x + -11x2

Reorder the terms:
12 + x + -11x2 = -12 + 12 + -1x + x + 11x2 + -11x2

Combine like terms: -12 + 12 = 0
12 + x + -11x2 = 0 + -1x + x + 11x2 + -11x2
12 + x + -11x2 = -1x + x + 11x2 + -11x2

Combine like terms: -1x + x = 0
12 + x + -11x2 = 0 + 11x2 + -11x2
12 + x + -11x2 = 11x2 + -11x2

Combine like terms: 11x2 + -11x2 = 0
12 + x + -11x2 = 0

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}