What is factor 6x^2-7x-3 ?

The solution to factor 6x^2-7x-3 is (3x+1)(2x-3)

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factor 6x^2-7x-3

factor

6 x^{2} - 7 x - 3

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

Solution steps

6 x^{2} - 7 x - 3

Break the expression into groups

= (6 x^{2} + 2 x) + (- 9 x - 3)

Factor out

2 x

from

6 x^{2} + 2 x : 2 x (3 x + 1)

Factor out

- 3

from

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

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

Factor out common term

3 x + 1

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

5 (2 z - 3) = 9 (z + 2)

- 2 - 23 i

∣ 3 (x + 1) + 6 ∣ \leq 15

2 (x + 1)^{2} = 24

6 x = 18