9y^2-234y+945=0

Solution for 9y^2-234y+945=0 equation:

Simplifying
9y2 + -234y + 945 = 0

Reorder the terms:
945 + -234y + 9y2 = 0

Solving
945 + -234y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9'.
9(105 + -26y + y2) = 0

Factor a trinomial.
9((5 + -1y)(21 + -1y)) = 0

Ignore the factor 9.
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 '(21 + -1y)' equal to zero and attempt to solve:

Simplifying
21 + -1y = 0

Solving
21 + -1y = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1y = 0 + -21
-1y = 0 + -21

Combine like terms: 0 + -21 = -21
-1y = -21

Divide each side by '-1'.
y = 21

Simplifying
y = 21
Solution
y = {5, 21}