What is factor 6x^2-5x-4 ?

The solution to factor 6x^2-5x-4 is (2x+1)(3x-4)

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factor 6x^2-5x-4

factor

6 x^{2} - 5 x - 4

(2 x + 1) (3 x - 4)

Solution steps

6 x^{2} - 5 x - 4

Break the expression into groups

= (6 x^{2} + 3 x) + (- 8 x - 4)

Factor out

3 x

from

6 x^{2} + 3 x : 3 x (2 x + 1)

Factor out

- 4

from

- 8 x - 4 : - 4 (2 x + 1)

= 3 x (2 x + 1) - 4 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (3 x - 4)

\frac{9}{4} = \frac{7 x + 6}{2}

x^{2} - 3 x - 18 < 0

- 3^{2} + x < 1

(x - 3) (2 x + 1) \geq 0

- 2 x + 4 + 4 x = x - 7