60y^2-15y-45=0

Solution for 60y^2-15y-45=0 equation:

Simplifying
60y2 + -15y + -45 = 0

Reorder the terms:
-45 + -15y + 60y2 = 0

Solving
-45 + -15y + 60y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-3 + -1y + 4y2) = 0

Factor a trinomial.
15((-3 + -4y)(1 + -1y)) = 0

Ignore the factor 15.
Subproblem 1
Set the factor '(-3 + -4y)' equal to zero and attempt to solve:

Simplifying
-3 + -4y = 0

Solving
-3 + -4y = 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 + -4y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4y = 0 + 3
-4y = 0 + 3

Combine like terms: 0 + 3 = 3
-4y = 3

Divide each side by '-4'.
y = -0.75

Simplifying
y = -0.75
Subproblem 2
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
Solution
y = {-0.75, 1}