What is factor 24x^2-2x-15 ?

The solution to factor 24x^2-2x-15 is (4x+3)(6x-5)

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factor 24x^2-2x-15

factor

24 x^{2} - 2 x - 15

(4 x + 3) (6 x - 5)

Solution steps

24 x^{2} - 2 x - 15

Break the expression into groups

= (24 x^{2} + 18 x) + (- 20 x - 15)

Factor out

6 x

from

24 x^{2} + 18 x : 6 x (4 x + 3)

Factor out

- 5

from

- 20 x - 15 : - 5 (4 x + 3)

= 6 x (4 x + 3) - 5 (4 x + 3)

Factor out common term

4 x + 3

= (4 x + 3) (6 x - 5)

- (- c b^{7})^{3}

\frac{7 x + 3}{2} = \frac{9 x - 8}{4}

ln (4^{3} + 4) = x^{2} + ln (2)

x^{3} + x^{2} - 32 x - 60

4 \leq x \leq 8