What is factor 4x^2-8x-5 ?

The solution to factor 4x^2-8x-5 is (2x+1)(2x-5)

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factor 4x^2-8x-5

factor

4 x^{2} - 8 x - 5

(2 x + 1) (2 x - 5)

Solution steps

4 x^{2} - 8 x - 5

Break the expression into groups

= (4 x^{2} + 2 x) + (- 10 x - 5)

Factor out

2 x

from

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

Factor out

- 5

from

- 10 x - 5 : - 5 (2 x + 1)

= 2 x (2 x + 1) - 5 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (2 x - 5)

\frac{3}{x + 1} - \frac{4}{x} \leq 1

∣ w + 5 ∣ < - 8

2 x^{2} - 5 x - 11 = 0

lo g_{4} (0.25)

r - 4 < 1