1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$\frac { 7 } { 2 } + \frac { 14 } { 6 } =$$

$\frac{35}{6}\approx 5.833333333$

Reduce the fraction $\frac{14}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{7}{2}+\frac{7}{3}$$

Least common multiple of $2$ and $3$ is $6$. Convert $\frac{7}{2}$ and $\frac{7}{3}$ to fractions with denominator $6$.

$$\frac{21}{6}+\frac{14}{6}$$

Since $\frac{21}{6}$ and $\frac{14}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{21+14}{6}$$

Add $21$ and $14$ to get $35$.

$$\frac{35}{6}$$

$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$