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 735/23 | Equatix

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Question

$$735\div23$$

Evaluate

$\frac{735}{23}\approx 31.956521739$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $735$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)735}\\\end{array}$$

Since $7$ is less than $23$, use the next digit $3$ from dividend $735$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)735}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $735$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)735}\\\end{array}$$

Find closest multiple of $23$ to $73$. We see that $3 \times 23 = 69$ is the nearest. Now subtract $69$ from $73$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{23)}03\phantom{4}\\23\overline{)735}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)9}4\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $735$

$$\begin{array}{l}\phantom{23)}03\phantom{5}\\23\overline{)735}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)9}45\\\end{array}$$

Find closest multiple of $23$ to $45$. We see that $1 \times 23 = 23$ is the nearest. Now subtract $23$ from $45$ to get reminder $22$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{23)}031\phantom{6}\\23\overline{)735}\\\phantom{23)}\underline{\phantom{}69\phantom{9}}\\\phantom{23)9}45\\\phantom{23)}\underline{\phantom{9}23\phantom{}}\\\phantom{23)9}22\\\end{array}$$

Since $22$ is less than $23$, stop the division. The reminder is $22$. The topmost line $031$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $31$.

$$\text{Quotient: }31$$ $$\text{Reminder: }22$$

Show Solution

Factor

$\frac{3 \cdot 5 \cdot 7 ^ {2}}{23} = 31\frac{22}{23} = 31.956521739130434$