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 367/80 | Equatix

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Question

$$367/80$$

Evaluate

$\frac{367}{80}=4.5875$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $367$

$$\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)367}\\\end{array}$$

Since $3$ is less than $80$, use the next digit $6$ from dividend $367$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)367}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $367$

$$\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)367}\\\end{array}$$

Since $36$ is less than $80$, use the next digit $7$ from dividend $367$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)367}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $367$

$$\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)367}\\\end{array}$$

Find closest multiple of $80$ to $367$. We see that $4 \times 80 = 320$ is the nearest. Now subtract $320$ from $367$ to get reminder $47$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{80)}004\phantom{6}\\80\overline{)367}\\\phantom{80)}\underline{\phantom{}320\phantom{}}\\\phantom{80)9}47\\\end{array}$$

Since $47$ is less than $80$, stop the division. The reminder is $47$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }47$$

Show Solution

Factor

$\frac{367}{2 ^ {4} \cdot 5} = 4\frac{47}{80} = 4.5875$