What is factor 7x^2-4x-3 ?

The solution to factor 7x^2-4x-3 is (7x+3)(x-1)

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factor 7x^2-4x-3

factor

7 x^{2} - 4 x - 3

(7 x + 3) (x - 1)

Solution steps

7 x^{2} - 4 x - 3

Break the expression into groups

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

Factor out

x

from

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

Factor out

- 1

from

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

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

Factor out common term

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

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

∣ x ∣ > - 9

28 x - 7 = 21 x - 70

x - 6 \leq 18 - 7 x

3 x^{3} - x

- 5 x \leq 35