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

$$\frac { 39 } { 10 }$$

Evaluate

$\frac{39}{10}=3.9$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $39$

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)39}\\\end{array}$$

Since $3$ is less than $10$, use the next digit $9$ from dividend $39$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)39}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $39$

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)39}\\\end{array}$$

Find closest multiple of $10$ to $39$. We see that $3 \times 10 = 30$ is the nearest. Now subtract $30$ from $39$ to get reminder $9$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{10)}03\phantom{4}\\10\overline{)39}\\\phantom{10)}\underline{\phantom{}30\phantom{}}\\\phantom{10)9}9\\\end{array}$$

Since $9$ is less than $10$, stop the division. The reminder is $9$. The topmost line $03$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{3 \cdot 13}{2 \cdot 5} = 3\frac{9}{10} = 3.9$