What is factor 5x^2+13x+8 ?

The solution to factor 5x^2+13x+8 is (x+1)(5x+8)

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factor 5x^2+13x+8

factor

5 x^{2} + 13 x + 8

(x + 1) (5 x + 8)

Solution steps

5 x^{2} + 13 x + 8

Break the expression into groups

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

Factor out

5 x

from

5 x^{2} + 5 x : 5 x (x + 1)

Factor out

8

from

8 x + 8 : 8 (x + 1)

= 5 x (x + 1) + 8 (x + 1)

Factor out common term

x + 1

= (x + 1) (5 x + 8)

7 (y - 6) = 7 y + 42

∣ 5 x - 4 ∣ + 9 = 9

2 (x + 4) (6 + x) = 0

\frac{160}{8}

x + \frac{1}{4} x = 15