What is factor 6y^2-17y+12 ?

The solution to factor 6y^2-17y+12 is (3y-4)(2y-3)

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factor 6y^2-17y+12

factor

6 y^{2} - 17 y + 12

(3 y - 4) (2 y - 3)

Solution steps

6 y^{2} - 17 y + 12

Break the expression into groups

= (6 y^{2} - 8 y) + (- 9 y + 12)

Factor out

2 y

from

6 y^{2} - 8 y : 2 y (3 y - 4)

Factor out

- 3

from

- 9 y + 12 : - 3 (3 y - 4)

= 2 y (3 y - 4) - 3 (3 y - 4)

Factor out common term

3 y - 4

= (3 y - 4) (2 y - 3)

3 x^{2} - 11 x = 20

16 x^{2} = 1

1 \leq 1 - \frac{1}{2} x < 4

(x - 2)^{2} - 1 = 0

2 + \frac{3}{1 + \frac{5}{2}}