-9y^2+52y+12=0

Solution for -9y^2+52y+12=0 equation:

Simplifying
-9y2 + 52y + 12 = 0

Reorder the terms:
12 + 52y + -9y2 = 0

Solving
12 + 52y + -9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + -1y)(2 + 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 '(2 + 9y)' equal to zero and attempt to solve:

Simplifying
2 + 9y = 0

Solving
2 + 9y = 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 + 9y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9y = 0 + -2
9y = 0 + -2

Combine like terms: 0 + -2 = -2
9y = -2

Divide each side by '9'.
y = -0.2222222222

Simplifying
y = -0.2222222222
Solution
y = {6, -0.2222222222}