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

$$161 \%$$

Evaluate

$\frac{161}{100}=1.61$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $161$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)161}\\\end{array}$$

Since $1$ is less than $100$, use the next digit $6$ from dividend $161$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)161}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $161$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)161}\\\end{array}$$

Since $16$ is less than $100$, use the next digit $1$ from dividend $161$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)161}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $161$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)161}\\\end{array}$$

Find closest multiple of $100$ to $161$. We see that $1 \times 100 = 100$ is the nearest. Now subtract $100$ from $161$ to get reminder $61$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)161}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}61\\\end{array}$$

Since $61$ is less than $100$, stop the division. The reminder is $61$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }61$$

Show Solution

Factor

$\frac{7 \cdot 23}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{61}{100} = 1.61$