What is factor 5x^2-37x-24 ?

The solution to factor 5x^2-37x-24 is (5x+3)(x-8)

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factor 5x^2-37x-24

factor

5 x^{2} - 37 x - 24

(5 x + 3) (x - 8)

Solution steps

5 x^{2} - 37 x - 24

Break the expression into groups

= (5 x^{2} + 3 x) + (- 40 x - 24)

Factor out

x

from

5 x^{2} + 3 x : x (5 x + 3)

Factor out

- 8

from

- 40 x - 24 : - 8 (5 x + 3)

= x (5 x + 3) - 8 (5 x + 3)

Factor out common term

5 x + 3

= (5 x + 3) (x - 8)

2160

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