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 4896/30 | Equatix

Question

$$4896 \div 30$$

Evaluate

$\frac{816}{5}=163.2$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $4896$

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)4896}\\\end{array}$$

Since $4$ is less than $30$, use the next digit $8$ from dividend $4896$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)4896}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $4896$

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)4896}\\\end{array}$$

Find closest multiple of $30$ to $48$. We see that $1 \times 30 = 30$ is the nearest. Now subtract $30$ from $48$ to get reminder $18$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{30)}01\phantom{4}\\30\overline{)4896}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}18\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $4896$

$$\begin{array}{l}\phantom{30)}01\phantom{5}\\30\overline{)4896}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}189\\\end{array}$$

Find closest multiple of $30$ to $189$. We see that $6 \times 30 = 180$ is the nearest. Now subtract $180$ from $189$ to get reminder $9$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{30)}016\phantom{6}\\30\overline{)4896}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}189\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)99}9\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $4896$

$$\begin{array}{l}\phantom{30)}016\phantom{7}\\30\overline{)4896}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}189\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)99}96\\\end{array}$$

Find closest multiple of $30$ to $96$. We see that $3 \times 30 = 90$ is the nearest. Now subtract $90$ from $96$ to get reminder $6$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{30)}0163\phantom{8}\\30\overline{)4896}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}189\\\phantom{30)}\underline{\phantom{}180\phantom{9}}\\\phantom{30)99}96\\\phantom{30)}\underline{\phantom{99}90\phantom{}}\\\phantom{30)999}6\\\end{array}$$

Since $6$ is less than $30$, stop the division. The reminder is $6$. The topmost line $0163$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $163$.

$$\text{Quotient: }163$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 3 \cdot 17}{5} = 163\frac{1}{5} = 163.2$

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Steps For Long Division Method

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