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

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

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factor 3x^2+6x-x-2

factor

3 x^{2} + 6 x - x - 2

(3 x - 1) (x + 2)

Solution steps

3 x^{2} + 6 x - x - 2

Add similar elements:

6 x - x = 5 x

= 3 x^{2} + 5 x - 2

Break the expression into groups

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

Factor out

x

from

3 x^{2} - x : x (3 x - 1)

Factor out

2

from

6 x - 2 : 2 (3 x - 1)

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

Factor out common term

3 x - 1

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

\frac{3 - x}{4} = 1

32 - \frac{x}{5} = \frac{x}{3}

(0^{2} - x^{2}) = 2 (- 9.8) (0.53)

7 \leq x - 5

x^{6} + 1 x^{3} - 30