What is factor 5x^2+16x+12 ?

The solution to factor 5x^2+16x+12 is (5x+6)(x+2)

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factor 5x^2+16x+12

factor

5 x^{2} + 16 x + 12

(5 x + 6) (x + 2)

Solution steps

5 x^{2} + 16 x + 12

Break the expression into groups

= (5 x^{2} + 6 x) + (10 x + 12)

Factor out

x

from

5 x^{2} + 6 x : x (5 x + 6)

Factor out

2

from

10 x + 12 : 2 (5 x + 6)

= x (5 x + 6) + 2 (5 x + 6)

Factor out common term

5 x + 6

= (5 x + 6) (x + 2)

3 x^{2} - 3 x + 12 = 0

- - 11

3 x^{2} - 192

\frac{5}{n + 5} + \frac{4 n}{2 n + 6}

- 6