What is factor 8x^2-23x-3 ?

The solution to factor 8x^2-23x-3 is (8x+1)(x-3)

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factor 8x^2-23x-3

factor

8 x^{2} - 23 x - 3

(8 x + 1) (x - 3)

Solution steps

8 x^{2} - 23 x - 3

Break the expression into groups

= (8 x^{2} + x) + (- 24 x - 3)

Factor out

x

from

8 x^{2} + x : x (8 x + 1)

Factor out

- 3

from

- 24 x - 3 : - 3 (8 x + 1)

= x (8 x + 1) - 3 (8 x + 1)

Factor out common term

8 x + 1

= (8 x + 1) (x - 3)

- \frac{1}{4} - \frac{3}{4}

3 x (x + 2) = 5

3 x^{2} - 16 x - 4 = 0

12 x^{2} - 60 x + 44

3 x + 5 = 3 (x + 5)