3y^2-22y+39=0

Solution for 3y^2-22y+39=0 equation:

Simplifying
3y2 + -22y + 39 = 0

Reorder the terms:
39 + -22y + 3y2 = 0

Solving
39 + -22y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -1y)(13 + -3y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(13 + -3y)' equal to zero and attempt to solve:

Simplifying
13 + -3y = 0

Solving
13 + -3y = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3y = 0 + -13
-3y = 0 + -13

Combine like terms: 0 + -13 = -13
-3y = -13

Divide each side by '-3'.
y = 4.333333333

Simplifying
y = 4.333333333
Solution
y = {3, 4.333333333}