What is factor 5x^2-39x-8 ?

The solution to factor 5x^2-39x-8 is (5x+1)(x-8)

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factor 5x^2-39x-8

factor

5 x^{2} - 39 x - 8

(5 x + 1) (x - 8)

Solution steps

5 x^{2} - 39 x - 8

Break the expression into groups

= (5 x^{2} + x) + (- 40 x - 8)

Factor out

x

from

5 x^{2} + x : x (5 x + 1)

Factor out

- 8

from

- 40 x - 8 : - 8 (5 x + 1)

= x (5 x + 1) - 8 (5 x + 1)

Factor out common term

5 x + 1

= (5 x + 1) (x - 8)

x - 9 = 5

2 (6 x + 9 - 3 x) = 5 x + 21

b^{2} - b - 20 = 0

(z + 8)^{2} = - 15

22 > 4 m - 2