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 800/23 | Equatix

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Question

$$800\div23$$

Evaluate

$\frac{800}{23}\approx 34.782608696$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $800$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)800}\\\end{array}$$

Since $8$ is less than $23$, use the next digit $0$ from dividend $800$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)800}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $800$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)800}\\\end{array}$$

Find closest multiple of $23$ to $80$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $80$ to get reminder $11$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}03\phantom{4}\\23\overline{)800}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}11\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $800$

$$\begin{array}{l}\phantom{23)}03\phantom{5}\\23\overline{)800}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}110\\\end{array}$$

Find closest multiple of $23$ to $110$. We see that $4 \times 23 = 92$ is the nearest. Now subtract $92$ from $110$ to get reminder $18$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{23)}034\phantom{6}\\23\overline{)800}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)}110\\\phantom{23)}\underline{\phantom{9}92\phantom{}}\\\phantom{23)9}18\\\end{array}$$

Since $18$ is less than $23$, stop the division. The reminder is $18$. The topmost line $034$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $34$.

$$\text{Quotient: }34$$ $$\text{Reminder: }18$$

Show Solution

Factor

$\frac{2 ^ {5} \cdot 5 ^ {2}}{23} = 34\frac{18}{23} = 34.78260869565217$