What is factor 9x^2-12x-5 ?

The solution to factor 9x^2-12x-5 is (3x+1)(3x-5)

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factor 9x^2-12x-5

factor

9 x^{2} - 12 x - 5

(3 x + 1) (3 x - 5)

Solution steps

9 x^{2} - 12 x - 5

Break the expression into groups

= (9 x^{2} + 3 x) + (- 15 x - 5)

Factor out

3 x

from

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

Factor out

- 5

from

- 15 x - 5 : - 5 (3 x + 1)

= 3 x (3 x + 1) - 5 (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (3 x - 5)

2 x^{2} - 11 x + 15

\frac{h}{2} > - 2

5 x^{2} + 6 x = 1

2 x - 3 = 6 + x

x^{2} - 1 = 1 - x^{2}