16x+11x^2=12

Solution for 16x+11x^2=12 equation:

Simplifying
16x + 11x2 = 12

Solving
16x + 11x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 16x + 11x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 16x + 11x2 = 0

Factor a trinomial.
(-2 + -1x)(6 + -11x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
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 = {-2, 0.5454545455}