Algebra Examples

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

Step 1

Simplify the denominator.

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Step 1.1

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

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Step 1.1.1

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

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

Step 1.1.2

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

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

Step 1.1.3

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

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

Step 1.2

Add $4$ and $3$ .

$\frac{- 5}{2 (x + 4) (x + 7)}$

Step 2

Move the negative in front of the fraction.

$- \frac{5}{2 (x + 4) (x + 7)}$