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

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

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factor 3x^2-7x-6

factor

3 x^{2} - 7 x - 6

(3 x + 2) (x - 3)

Solution steps

3 x^{2} - 7 x - 6

Break the expression into groups

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

Factor out

x

from

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

Factor out

- 3

from

- 9 x - 6 : - 3 (3 x + 2)

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

Factor out common term

3 x + 2

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

x^{2} + x^{2} = 12

(\frac{3 x}{x - 2}) - (\frac{f x - 1}{x - 2})

2 - 3 x = \frac{- x - 5}{6}

8 (\frac{1}{4})

2 x^{2} + 7 x \geq 0