What is factor 6x^2+13x-8 ?

The solution to factor 6x^2+13x-8 is (2x-1)(3x+8)

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factor 6x^2+13x-8

factor

6 x^{2} + 13 x - 8

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

Solution steps

6 x^{2} + 13 x - 8

Break the expression into groups

= (6 x^{2} - 3 x) + (16 x - 8)

Factor out

3 x

from

6 x^{2} - 3 x : 3 x (2 x - 1)

Factor out

8

from

16 x - 8 : 8 (2 x - 1)

= 3 x (2 x - 1) + 8 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (3 x + 8)

475

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