What is factor 6x^2-5x-14 ?

The solution to factor 6x^2-5x-14 is (6x+7)(x-2)

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factor 6x^2-5x-14

factor

6 x^{2} - 5 x - 14

(6 x + 7) (x - 2)

Solution steps

6 x^{2} - 5 x - 14

Break the expression into groups

= (6 x^{2} + 7 x) + (- 12 x - 14)

Factor out

x

from

6 x^{2} + 7 x : x (6 x + 7)

Factor out

- 2

from

- 12 x - 14 : - 2 (6 x + 7)

= x (6 x + 7) - 2 (6 x + 7)

Factor out common term

6 x + 7

= (6 x + 7) (x - 2)

x^{2} - 13 x + 36

- 6 x + \frac{1}{3} = - 16

- \frac{23}{2} (\frac{1}{100}) + \frac{23}{2}

- 2 = g - 9

e^{2 i}