Simplify 5/(2(x+4)^2-6(x+4))

$\frac{5}{2 {(x + 4)}^{2} - 6 (x + 4)}$

Step 1

Factor $2 (x + 4)$ out of $2 {(x + 4)}^{2} - 6 (x + 4)$ .

Factor $2 (x + 4)$ out of $2 {(x + 4)}^{2}$ .

$\frac{5}{2 (x + 4) (x + 4) - 6 (x + 4)}$

Factor $2 (x + 4)$ out of $- 6 (x + 4)$ .

$\frac{5}{2 (x + 4) (x + 4) + 2 (x + 4) (- 3)}$

Factor $2 (x + 4)$ out of $2 (x + 4) (x + 4) + 2 (x + 4) (- 3)$ .

$\frac{5}{2 (x + 4) (x + 4 - 3)}$

Step 2

Subtract $3$ from $4$ .

$\frac{5}{2 (x + 4) (x + 1)}$