27y^2-35y+8=0

Solution for 27y^2-35y+8=0 equation:

Simplifying
27y2 + -35y + 8 = 0

Reorder the terms:
8 + -35y + 27y2 = 0

Solving
8 + -35y + 27y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -27y)(1 + -1y) = 0

Subproblem 1
Set the factor '(8 + -27y)' equal to zero and attempt to solve:

Simplifying
8 + -27y = 0

Solving
8 + -27y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -27y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -27y = 0 + -8
-27y = 0 + -8

Combine like terms: 0 + -8 = -8
-27y = -8

Divide each side by '-27'.
y = 0.2962962963

Simplifying
y = 0.2962962963
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

Simplifying
y = 1
Solution
y = {0.2962962963, 1}