4y^2+8y=60

Solution for 4y^2+8y=60 equation:

Simplifying
4y2 + 8y = 60

Reorder the terms:
8y + 4y2 = 60

Solving
8y + 4y2 = 60

Solving for variable 'y'.

Reorder the terms:
-60 + 8y + 4y2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 8y + 4y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 2y + y2) = 0

Factor a trinomial.
4((-5 + -1y)(3 + -1y)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 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 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Divide each side by '-1'.
y = -5

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

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {-5, 3}