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

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

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factor 14x^2-3x-2

factor

14 x^{2} - 3 x - 2

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

Solution steps

14 x^{2} - 3 x - 2

Break the expression into groups

= (14 x^{2} + 4 x) + (- 7 x - 2)

Factor out

2 x

from

14 x^{2} + 4 x : 2 x (7 x + 2)

Factor out

- 1

from

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

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

Factor out common term

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

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

12 x^{2} - 15 x - 6 = 0

3 y^{2} - y = 2

2^{22}

3 x = - 18

∣ x ∣ = 17