What is factor 24x^2-14x-5 ?

The solution to factor 24x^2-14x-5 is (4x+1)(6x-5)

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factor 24x^2-14x-5

factor

24 x^{2} - 14 x - 5

(4 x + 1) (6 x - 5)

Solution steps

24 x^{2} - 14 x - 5

Break the expression into groups

= (24 x^{2} + 6 x) + (- 20 x - 5)

Factor out

6 x

from

24 x^{2} + 6 x : 6 x (4 x + 1)

Factor out

- 5

from

- 20 x - 5 : - 5 (4 x + 1)

= 6 x (4 x + 1) - 5 (4 x + 1)

Factor out common term

4 x + 1

= (4 x + 1) (6 x - 5)

\frac{x - 3}{2} \geq 5

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

- 7 = \frac{x}{3} + 2

\frac{1}{4} m + 9 = - 16

1 \leq x \leq 2