60y^2+32y-15=0

Solution for 60y^2+32y-15=0 equation:

Simplifying
60y2 + 32y + -15 = 0

Reorder the terms:
-15 + 32y + 60y2 = 0

Solving
-15 + 32y + 60y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -6y)(3 + -10y) = 0

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

Simplifying
-5 + -6y = 0

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

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

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

Divide each side by '-6'.
y = -0.8333333333

Simplifying
y = -0.8333333333
Subproblem 2
Set the factor '(3 + -10y)' equal to zero and attempt to solve:

Simplifying
3 + -10y = 0

Solving
3 + -10y = 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 + -10y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10y = 0 + -3
-10y = 0 + -3

Combine like terms: 0 + -3 = -3
-10y = -3

Divide each side by '-10'.
y = 0.3

Simplifying
y = 0.3
Solution
y = {-0.8333333333, 0.3}