What is factor 6x^2-13x-5 ?

The solution to factor 6x^2-13x-5 is (3x+1)(2x-5)

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factor 6x^2-13x-5

factor

6 x^{2} - 13 x - 5

(3 x + 1) (2 x - 5)

Solution steps

6 x^{2} - 13 x - 5

Break the expression into groups

= (6 x^{2} + 2 x) + (- 15 x - 5)

Factor out

2 x

from

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

Factor out

- 5

from

- 15 x - 5 : - 5 (3 x + 1)

= 2 x (3 x + 1) - 5 (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (2 x - 5)

81 c^{2} - 1

15 a^{2} - 8 a - 12

\frac{4 k ^{2} - 12 k + 9}{2 k ^{2} + 19 k - 33} \cdot \frac{k ^{2} + 8 k - 33}{k ^{2} - 3 k}

- - 2

\frac{- 3}{2}