3y^2+8y-60=0

Solution for 3y^2+8y-60=0 equation:

Simplifying
3y2 + 8y + -60 = 0

Reorder the terms:
-60 + 8y + 3y2 = 0

Solving
-60 + 8y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(10 + -3y) = 0

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

Simplifying
-6 + -1y = 0

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

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

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

Divide each side by '-1'.
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(10 + -3y)' equal to zero and attempt to solve:

Simplifying
10 + -3y = 0

Solving
10 + -3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3y = 0 + -10

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

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

Divide each side by '-3'.
y = 3.333333333

Simplifying
y = 3.333333333
Solution
y = {-6, 3.333333333}