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

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

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factor 12y^2-y-6

factor

12 y^{2} - y - 6

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

Solution steps

12 y^{2} - y - 6

Break the expression into groups

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

Factor out

4 y

from

12 y^{2} + 8 y : 4 y (3 y + 2)

Factor out

- 3

from

- 9 y - 6 : - 3 (3 y + 2)

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

Factor out common term

3 y + 2

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

5 + 2 x = 11

0 = 3 x^{2} - 6 x + 3

- 3 (5 x - 9) < - 18 x + 12

6 x (3 x - 0.1 x^{2}) = 0

\frac{n - 7}{8} + \frac{n + 7}{9} = \frac{5}{36}