What is factor 16x^2-8x-3 ?

The solution to factor 16x^2-8x-3 is (4x+1)(4x-3)

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factor 16x^2-8x-3

factor

16 x^{2} - 8 x - 3

(4 x + 1) (4 x - 3)

Solution steps

16 x^{2} - 8 x - 3

Break the expression into groups

= (16 x^{2} + 4 x) + (- 12 x - 3)

Factor out

4 x

from

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

Factor out

- 3

from

- 12 x - 3 : - 3 (4 x + 1)

= 4 x (4 x + 1) - 3 (4 x + 1)

Factor out common term

4 x + 1

= (4 x + 1) (4 x - 3)

lo g_{5} (32) = lo g_{5} (2)

3 x^{2} (2 x - 1) - 6 x (2 x - 1)

9 x^{2} = 1

∣ 1 - x ∣ \geq - 5

- 8 + 5 x - 2 = 20