-36y^2-19y+6=0

Solution for -36y^2-19y+6=0 equation:

Simplifying
-36y2 + -19y + 6 = 0

Reorder the terms:
6 + -19y + -36y2 = 0

Solving
6 + -19y + -36y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -9y)(3 + 4y) = 0

Subproblem 1
Set the factor '(2 + -9y)' equal to zero and attempt to solve:

Simplifying
2 + -9y = 0

Solving
2 + -9y = 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 + -9y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9y = 0 + -2
-9y = 0 + -2

Combine like terms: 0 + -2 = -2
-9y = -2

Divide each side by '-9'.
y = 0.2222222222

Simplifying
y = 0.2222222222
Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 0 + -3
4y = 0 + -3

Combine like terms: 0 + -3 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {0.2222222222, -0.75}