What is factor 16x^2-18x-9 ?

The solution to factor 16x^2-18x-9 is (8x+3)(2x-3)

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factor 16x^2-18x-9

factor

16 x^{2} - 18 x - 9

(8 x + 3) (2 x - 3)

Solution steps

16 x^{2} - 18 x - 9

Break the expression into groups

= (16 x^{2} + 6 x) + (- 24 x - 9)

Factor out

2 x

from

16 x^{2} + 6 x : 2 x (8 x + 3)

Factor out

- 3

from

- 24 x - 9 : - 3 (8 x + 3)

= 2 x (8 x + 3) - 3 (8 x + 3)

Factor out common term

8 x + 3

= (8 x + 3) (2 x - 3)

1 \frac{1}{15}

\frac{2}{5 + 2}

2 - 11

22 - 8