What is factor-6k^2-13k-6 ?

The solution to factor-6k^2-13k-6 is -(3k+2)(2k+3)

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factor-6k^2-13k-6

factor

- 6 k^{2} - 13 k - 6

- (3 k + 2) (2 k + 3)

Solution steps

- 6 k^{2} - 13 k - 6

Break the expression into groups

= (- 6 k^{2} - 4 k) + (- 9 k - 6)

Factor out

- 2 k

from

- 6 k^{2} - 4 k : - 2 k (3 k + 2)

Factor out

- 3

from

- 9 k - 6 : - 3 (3 k + 2)

= - 2 k (3 k + 2) - 3 (3 k + 2)

Factor out common term

3 k + 2

= (3 k + 2) (- 2 k - 3)

Factor

- 2 k - 3 : - (2 k + 3)

= (3 k + 2) (- (2 k + 3))

Apply rule:

a (- b) = - ab

(3 k + 2) (- (2 k + 3)) = - (3 k + 2) (2 k + 3)

= - (3 k + 2) (2 k + 3)

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