What is factor 14x^2-x-3 ?

The solution to factor 14x^2-x-3 is (7x+3)(2x-1)

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factor 14x^2-x-3

factor

14 x^{2} - x - 3

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

Solution steps

14 x^{2} - x - 3

Break the expression into groups

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

Factor out

2 x

from

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

Factor out

- 1

from

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

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

Factor out common term

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

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

10 x - 2 - 7 x = 16

3.5 + 2.5 x = 9.75

\frac{3 x}{5} - \frac{2 x}{3} + \frac{1}{5} = 0

4 (2 x + 5) = 3 (x + 15)

∣ 4 - 9 ∣