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

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

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factor 12x^2-x-6

factor

12 x^{2} - x - 6

(3 x + 2) (4 x - 3)

Solution steps

12 x^{2} - x - 6

Break the expression into groups

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

Factor out

4 x

from

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

Factor out

- 3

from

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

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

Factor out common term

3 x + 2

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

4 x^{3} + 20 x^{2} - 9 x - 45

- 2 = 2 x^{2} + 8

2 k^{2} + 11 k + 15

\frac{( 15 - 8 i ) + ( 12 - 6 i )}{( - 14 + 3 i ) - ( - 19 - 4 i )}