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 369/82 | Equatix

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Question

$$369/82$$

Evaluate

$\frac{9}{2}=4.5$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $369$

$$\begin{array}{l}\phantom{82)}\phantom{1}\\82\overline{)369}\\\end{array}$$

Since $3$ is less than $82$, use the next digit $6$ from dividend $369$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{82)}0\phantom{2}\\82\overline{)369}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $369$

$$\begin{array}{l}\phantom{82)}0\phantom{3}\\82\overline{)369}\\\end{array}$$

Since $36$ is less than $82$, use the next digit $9$ from dividend $369$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{82)}00\phantom{4}\\82\overline{)369}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $369$

$$\begin{array}{l}\phantom{82)}00\phantom{5}\\82\overline{)369}\\\end{array}$$

Find closest multiple of $82$ to $369$. We see that $4 \times 82 = 328$ is the nearest. Now subtract $328$ from $369$ to get reminder $41$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{82)}004\phantom{6}\\82\overline{)369}\\\phantom{82)}\underline{\phantom{}328\phantom{}}\\\phantom{82)9}41\\\end{array}$$

Since $41$ is less than $82$, stop the division. The reminder is $41$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }41$$

Show Solution

Factor

$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$