9y^2-109y+330=0

Solution for 9y^2-109y+330=0 equation:

Simplifying
9y2 + -109y + 330 = 0

Reorder the terms:
330 + -109y + 9y2 = 0

Solving
330 + -109y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + -1y)(55 + -9y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(55 + -9y)' equal to zero and attempt to solve:

Simplifying
55 + -9y = 0

Solving
55 + -9y = 0

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

Add '-55' to each side of the equation.
55 + -55 + -9y = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -9y = 0 + -55
-9y = 0 + -55

Combine like terms: 0 + -55 = -55
-9y = -55

Divide each side by '-9'.
y = 6.111111111

Simplifying
y = 6.111111111
Solution
y = {6, 6.111111111}