36y^2-540y+1944=0

Solution for 36y^2-540y+1944=0 equation:

Simplifying
36y2 + -540y + 1944 = 0

Reorder the terms:
1944 + -540y + 36y2 = 0

Solving
1944 + -540y + 36y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '36'.
36(54 + -15y + y2) = 0

Factor a trinomial.
36((6 + -1y)(9 + -1y)) = 0

Ignore the factor 36.
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 '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Solution
y = {6, 9}