15y^2+13y-6=0

Solution for 15y^2+13y-6=0 equation:

Simplifying
15y2 + 13y + -6 = 0

Reorder the terms:
-6 + 13y + 15y2 = 0

Solving
-6 + 13y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -5y)(1 + -3y) = 0

Subproblem 1
Set the factor '(-6 + -5y)' equal to zero and attempt to solve:

Simplifying
-6 + -5y = 0

Solving
-6 + -5y = 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 + -5y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 0 + 6
-5y = 0 + 6

Combine like terms: 0 + 6 = 6
-5y = 6

Divide each side by '-5'.
y = -1.2

Simplifying
y = -1.2
Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Solution
y = {-1.2, 0.3333333333}