What is factor 16x^2-16x-5 ?

The solution to factor 16x^2-16x-5 is (4x+1)(4x-5)

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factor 16x^2-16x-5

factor

16 x^{2} - 16 x - 5

(4 x + 1) (4 x - 5)

Solution steps

16 x^{2} - 16 x - 5

Break the expression into groups

= (16 x^{2} + 4 x) + (- 20 x - 5)

Factor out

4 x

from

16 x^{2} + 4 x : 4 x (4 x + 1)

Factor out

- 5

from

- 20 x - 5 : - 5 (4 x + 1)

= 4 x (4 x + 1) - 5 (4 x + 1)

Factor out common term

4 x + 1

= (4 x + 1) (4 x - 5)

9 x^{2} + 36 x + 11

8 y = 48

- 4 x^{2} + 8 x - 7 = 0

- 3 (2 n - 11) > n + 26

6 (n - 7) < - 84