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 460/60 | Equatix

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Question

$$\frac{460}{60}$$

Evaluate

$\frac{23}{3}\approx 7.666666667$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $460$

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)460}\\\end{array}$$

Since $4$ is less than $60$, use the next digit $6$ from dividend $460$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)460}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $460$

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)460}\\\end{array}$$

Since $46$ is less than $60$, use the next digit $0$ from dividend $460$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)460}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $460$

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)460}\\\end{array}$$

Find closest multiple of $60$ to $460$. We see that $7 \times 60 = 420$ is the nearest. Now subtract $420$ from $460$ to get reminder $40$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{60)}007\phantom{6}\\60\overline{)460}\\\phantom{60)}\underline{\phantom{}420\phantom{}}\\\phantom{60)9}40\\\end{array}$$

Since $40$ is less than $60$, stop the division. The reminder is $40$. The topmost line $007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }40$$

Show Solution

Factor

$\frac{23}{3} = 7\frac{2}{3} = 7.666666666666667$