What is factor 6k^2-7k-24 ?

The solution to factor 6k^2-7k-24 is (2k+3)(3k-8)

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factor 6k^2-7k-24

factor

6 k^{2} - 7 k - 24

(2 k + 3) (3 k - 8)

Solution steps

6 k^{2} - 7 k - 24

Break the expression into groups

= (6 k^{2} + 9 k) + (- 16 k - 24)

Factor out

3 k

from

6 k^{2} + 9 k : 3 k (2 k + 3)

Factor out

- 8

from

- 16 k - 24 : - 8 (2 k + 3)

= 3 k (2 k + 3) - 8 (2 k + 3)

Factor out common term

2 k + 3

= (2 k + 3) (3 k - 8)

∣ 5 x - 1 ∣ < - 6

x^{3} + 7 x^{2} + 14 x + 6

2 (8 x - 1) + 7 (x + 5) = - 59

4 (4 x + 2) = 16 x + 8

8 x - 4 y