11y+3y^2=60

Solution for 11y+3y^2=60 equation:

Simplifying
11y + 3y2 = 60

Solving
11y + 3y2 = 60

Solving for variable 'y'.

Reorder the terms:
-60 + 11y + 3y2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 11y + 3y2 = 0

Factor a trinomial.
(-20 + -3y)(3 + -1y) = 0

Subproblem 1
Set the factor '(-20 + -3y)' equal to zero and attempt to solve:

Simplifying
-20 + -3y = 0

Solving
-20 + -3y = 0

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

Add '20' to each side of the equation.
-20 + 20 + -3y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -3y = 0 + 20
-3y = 0 + 20

Combine like terms: 0 + 20 = 20
-3y = 20

Divide each side by '-3'.
y = -6.666666667

Simplifying
y = -6.666666667
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 = {-6.666666667, 3}