5y^2-20y=60

Solution for 5y^2-20y=60 equation:

Simplifying
5y2 + -20y = 60

Reorder the terms:
-20y + 5y2 = 60

Solving
-20y + 5y2 = 60

Solving for variable 'y'.

Reorder the terms:
-60 + -20y + 5y2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -20y + 5y2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -4y + y2) = 0

Factor a trinomial.
5((-2 + -1y)(6 + -1y)) = 0

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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2
Subproblem 2
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
Solution
y = {-2, 6}