5y^2-17y+12=0

Solution for 5y^2-17y+12=0 equation:

Simplifying
5y2 + -17y + 12 = 0

Reorder the terms:
12 + -17y + 5y2 = 0

Solving
12 + -17y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(12 + -5y) = 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 '(12 + -5y)' equal to zero and attempt to solve:

Simplifying
12 + -5y = 0

Solving
12 + -5y = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5y = 0 + -12
-5y = 0 + -12

Combine like terms: 0 + -12 = -12
-5y = -12

Divide each side by '-5'.
y = 2.4

Simplifying
y = 2.4
Solution
y = {1, 2.4}