0=6y^2-y-15

Solution for 0=6y^2-y-15 equation:

Simplifying
0 = 6y2 + -1y + -15

Reorder the terms:
0 = -15 + -1y + 6y2

Solving
0 = -15 + -1y + 6y2

Solving for variable 'y'.

Combine like terms: 0 + 15 = 15
15 + y + -6y2 = -15 + -1y + 6y2 + 15 + y + -6y2

Reorder the terms:
15 + y + -6y2 = -15 + 15 + -1y + y + 6y2 + -6y2

Combine like terms: -15 + 15 = 0
15 + y + -6y2 = 0 + -1y + y + 6y2 + -6y2
15 + y + -6y2 = -1y + y + 6y2 + -6y2

Combine like terms: -1y + y = 0
15 + y + -6y2 = 0 + 6y2 + -6y2
15 + y + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
15 + y + -6y2 = 0

Factor a trinomial.
(5 + -3y)(3 + 2y) = 0

Subproblem 1
Set the factor '(5 + -3y)' equal to zero and attempt to solve:

Simplifying
5 + -3y = 0

Solving
5 + -3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = 0 + -5
-3y = 0 + -5

Combine like terms: 0 + -5 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667
Subproblem 2
Set the factor '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 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 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5
Solution
y = {1.666666667, -1.5}