What is factor 8x^2+22x+15 ?

The solution to factor 8x^2+22x+15 is (4x+5)(2x+3)

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factor 8x^2+22x+15

factor

8 x^{2} + 22 x + 15

(4 x + 5) (2 x + 3)

Solution steps

8 x^{2} + 22 x + 15

Break the expression into groups

= (8 x^{2} + 10 x) + (12 x + 15)

Factor out

2 x

from

8 x^{2} + 10 x : 2 x (4 x + 5)

Factor out

3

from

12 x + 15 : 3 (4 x + 5)

= 2 x (4 x + 5) + 3 (4 x + 5)

Factor out common term

4 x + 5

= (4 x + 5) (2 x + 3)

5 x + 1 < 6

(3 - 2) (3 - 2)

- 3 x^{2} - 24 x + 17 = - 40

x^{2} - 10 x + 26 = 0

(- 2 + 4 i) - (- 4 + 4 i)