What is factor 8x^2-22x+5 ?

The solution to factor 8x^2-22x+5 is (4x-1)(2x-5)

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factor 8x^2-22x+5

factor

8 x^{2} - 22 x + 5

(4 x - 1) (2 x - 5)

Solution steps

8 x^{2} - 22 x + 5

Break the expression into groups

= (8 x^{2} - 2 x) + (- 20 x + 5)

Factor out

2 x

from

8 x^{2} - 2 x : 2 x (4 x - 1)

Factor out

- 5

from

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

= 2 x (4 x - 1) - 5 (4 x - 1)

Factor out common term

4 x - 1

= (4 x - 1) (2 x - 5)

x (x + 1)^{2} (x - 7) < 0

\frac{\frac{5}{2}}{2}

3 x + 5 = 2 x - 1

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

(25)^{\frac{3}{2}}