What is factor 6x^2-19x-7 ?

The solution to factor 6x^2-19x-7 is (3x+1)(2x-7)

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factor 6x^2-19x-7

factor

6 x^{2} - 19 x - 7

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

Solution steps

6 x^{2} - 19 x - 7

Break the expression into groups

= (6 x^{2} + 2 x) + (- 21 x - 7)

Factor out

2 x

from

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

Factor out

- 7

from

- 21 x - 7 : - 7 (3 x + 1)

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

Factor out common term

3 x + 1

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

2 ∣ 5 x + 1 ∣ - 3 = 0

- 8 x + 40 = - 112

3 ∣ x - 3 ∣ + 5 < 41

2 x^{2} - 3 x - 5

(- 7)^{2}