9y^2-29y+6=0

Solution for 9y^2-29y+6=0 equation:

Simplifying
9y2 + -29y + 6 = 0

Reorder the terms:
6 + -29y + 9y2 = 0

Solving
6 + -29y + 9y2 = 0

Solving for variable 'y'.

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

Subproblem 1
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
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 = {0.2222222222, 3}