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.

Solve 108/11 | Equatix

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Question

$$108/11$$

Evaluate

$\frac{108}{11}\approx 9.818181818$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $108$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)108}\\\end{array}$$

Since $1$ is less than $11$, use the next digit $0$ from dividend $108$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)108}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $108$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)108}\\\end{array}$$

Since $10$ is less than $11$, use the next digit $8$ from dividend $108$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}00\phantom{4}\\11\overline{)108}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $108$

$$\begin{array}{l}\phantom{11)}00\phantom{5}\\11\overline{)108}\\\end{array}$$

Find closest multiple of $11$ to $108$. We see that $9 \times 11 = 99$ is the nearest. Now subtract $99$ from $108$ to get reminder $9$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{11)}009\phantom{6}\\11\overline{)108}\\\phantom{11)}\underline{\phantom{9}99\phantom{}}\\\phantom{11)99}9\\\end{array}$$

Since $9$ is less than $11$, stop the division. The reminder is $9$. The topmost line $009$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $9$.

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

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 ^ {3}}{11} = 9\frac{9}{11} = 9.818181818181818$