Factoring trinomials: factor 12y^2=+17y-6

Solve for y over the real numbers:
12 y^2 = 17 y - 6
Subtract 17 y - 6 from both sides:
12 y^2 - 17 y + 6 = 0
The left hand side factors into a product with two terms:
(3 y - 2) (4 y - 3) = 0
Split into two equations:
3 y - 2 = 0 or 4 y - 3 = 0
Add 2 to both sides:
3 y = 2 or 4 y - 3 = 0
Divide both sides by 3:
y = 2/3 or 4 y - 3 = 0
Add 3 to both sides:
y = 2/3 or 4 y = 3
Divide both sides by 4:
  y = 2/3 or y = 3/4

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