11y^2+16y-12=0

Solution for 11y^2+16y-12=0 equation:

Simplifying
11y2 + 16y + -12 = 0

Reorder the terms:
-12 + 16y + 11y2 = 0

Solving
-12 + 16y + 11y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

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

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

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

Simplifying
y = -2
Subproblem 2
Set the factor '(6 + -11y)' equal to zero and attempt to solve:

Simplifying
6 + -11y = 0

Solving
6 + -11y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -11y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -11y = 0 + -6
-11y = 0 + -6

Combine like terms: 0 + -6 = -6
-11y = -6

Divide each side by '-11'.
y = 0.5454545455

Simplifying
y = 0.5454545455
Solution
y = {-2, 0.5454545455}