6y^2+y-22=0

Solution for 6y^2+y-22=0 equation:

Simplifying
6y2 + y + -22 = 0

Reorder the terms:
-22 + y + 6y2 = 0

Solving
-22 + y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(11 + -6y) = 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 '(11 + -6y)' equal to zero and attempt to solve:

Simplifying
11 + -6y = 0

Solving
11 + -6y = 0

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

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

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

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

Divide each side by '-6'.
y = 1.833333333

Simplifying
y = 1.833333333
Solution
y = {-2, 1.833333333}