15y^2+6y=9

Solution for 15y^2+6y=9 equation:

Simplifying
15y2 + 6y = 9

Reorder the terms:
6y + 15y2 = 9

Solving
6y + 15y2 = 9

Solving for variable 'y'.

Reorder the terms:
-9 + 6y + 15y2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 6y + 15y2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 2y + 5y2) = 0

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

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

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 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 + -1y = 0 + 1

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

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

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

Simplifying
y = -1
Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve:

Simplifying
3 + -5y = 0

Solving
3 + -5y = 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 + -5y = 0 + -3

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

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

Divide each side by '-5'.
y = 0.6

Simplifying
y = 0.6
Solution
y = {-1, 0.6}