-27y^2+3y+2=0

Solution for -27y^2+3y+2=0 equation:

Simplifying
-27y2 + 3y + 2 = 0

Reorder the terms:
2 + 3y + -27y2 = 0

Solving
2 + 3y + -27y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -3y)(2 + 9y) = 0

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

Simplifying
1 + -3y = 0

Solving
1 + -3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
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 = {0.3333333333, -0.2222222222}