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

$$352 \div 38$$

Evaluate

$\frac{176}{19}\approx 9.263157895$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $352$

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)352}\\\end{array}$$

Since $3$ is less than $38$, use the next digit $5$ from dividend $352$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)352}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $352$

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)352}\\\end{array}$$

Since $35$ is less than $38$, use the next digit $2$ from dividend $352$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{38)}00\phantom{4}\\38\overline{)352}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $352$

$$\begin{array}{l}\phantom{38)}00\phantom{5}\\38\overline{)352}\\\end{array}$$

Find closest multiple of $38$ to $352$. We see that $9 \times 38 = 342$ is the nearest. Now subtract $342$ from $352$ to get reminder $10$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{38)}009\phantom{6}\\38\overline{)352}\\\phantom{38)}\underline{\phantom{}342\phantom{}}\\\phantom{38)9}10\\\end{array}$$

Since $10$ is less than $38$, stop the division. The reminder is $10$. The topmost line $009$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $9$.

$$\text{Quotient: }9$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 11}{19} = 9\frac{5}{19} = 9.263157894736842$