12y^2-29y+17=0

Solution for 12y^2-29y+17=0 equation:

Simplifying
12y2 + -29y + 17 = 0

Reorder the terms:
17 + -29y + 12y2 = 0

Solving
17 + -29y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(17 + -12y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(17 + -12y)' equal to zero and attempt to solve:

Simplifying
17 + -12y = 0

Solving
17 + -12y = 0

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

Add '-17' to each side of the equation.
17 + -17 + -12y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -12y = 0 + -17
-12y = 0 + -17

Combine like terms: 0 + -17 = -17
-12y = -17

Divide each side by '-12'.
y = 1.416666667

Simplifying
y = 1.416666667
Solution
y = {1, 1.416666667}