3y^2+22y+32=0

Solution for 3y^2+22y+32=0 equation:

Simplifying
3y2 + 22y + 32 = 0

Reorder the terms:
32 + 22y + 3y2 = 0

Solving
32 + 22y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(16 + 3y)(2 + y) = 0

Subproblem 1
Set the factor '(16 + 3y)' equal to zero and attempt to solve:

Simplifying
16 + 3y = 0

Solving
16 + 3y = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3y = 0 + -16
3y = 0 + -16

Combine like terms: 0 + -16 = -16
3y = -16

Divide each side by '3'.
y = -5.333333333

Simplifying
y = -5.333333333
Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

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

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

Simplifying
y = -2
Solution
y = {-5.333333333, -2}