What is factor 6x^2-17x-14 ?

The solution to factor 6x^2-17x-14 is (3x+2)(2x-7)

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factor 6x^2-17x-14

factor

6 x^{2} - 17 x - 14

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

Solution steps

6 x^{2} - 17 x - 14

Break the expression into groups

= (6 x^{2} + 4 x) + (- 21 x - 14)

Factor out

2 x

from

6 x^{2} + 4 x : 2 x (3 x + 2)

Factor out

- 7

from

- 21 x - 14 : - 7 (3 x + 2)

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

Factor out common term

3 x + 2

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

- 3 x^{2} + 24 x - 45 = 0

\frac{3 π}{4} + π

2 x + 9 \leq 7

125 n^{10}

- \frac{1}{2} - \frac{1}{2}