What is factor 6x^2-11x-7 ?

The solution to factor 6x^2-11x-7 is (2x+1)(3x-7)

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factor 6x^2-11x-7

factor

6 x^{2} - 11 x - 7

(2 x + 1) (3 x - 7)

Solution steps

6 x^{2} - 11 x - 7

Break the expression into groups

= (6 x^{2} + 3 x) + (- 14 x - 7)

Factor out

3 x

from

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

Factor out

- 7

from

- 14 x - 7 : - 7 (2 x + 1)

= 3 x (2 x + 1) - 7 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (3 x - 7)

- 2 (- 5 g + 6 k) - 9 (- 2 g + 4 k)

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