7y^2-30y+27=0

Solution for 7y^2-30y+27=0 equation:

Simplifying
7y2 + -30y + 27 = 0

Reorder the terms:
27 + -30y + 7y2 = 0

Solving
27 + -30y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + -7y)(3 + -1y) = 0

Subproblem 1
Set the factor '(9 + -7y)' equal to zero and attempt to solve:

Simplifying
9 + -7y = 0

Solving
9 + -7y = 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 + -7y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7y = 0 + -9
-7y = 0 + -9

Combine like terms: 0 + -9 = -9
-7y = -9

Divide each side by '-7'.
y = 1.285714286

Simplifying
y = 1.285714286
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {1.285714286, 3}