What is factor 2x^2-13x-24 ?

The solution to factor 2x^2-13x-24 is (2x+3)(x-8)

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factor 2x^2-13x-24

factor

2 x^{2} - 13 x - 24

(2 x + 3) (x - 8)

Solution steps

2 x^{2} - 13 x - 24

Break the expression into groups

= (2 x^{2} + 3 x) + (- 16 x - 24)

Factor out

x

from

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

Factor out

- 8

from

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

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

Factor out common term

2 x + 3

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

5 x - 7 = - 12

- 10 x + 5 = - 6 x - 35

9 \cdot (\frac{5}{6})^{2}

2 x + 9 + 3 x + x = 5 x + 3

1 \leq 3 + \frac{2}{3} p \leq 7