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 9648/94 | Equatix

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Question

$$9648/94$$

Evaluate

$\frac{4824}{47}\approx 102.638297872$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9648$

$$\begin{array}{l}\phantom{94)}\phantom{1}\\94\overline{)9648}\\\end{array}$$

Since $9$ is less than $94$, use the next digit $6$ from dividend $9648$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{94)}0\phantom{2}\\94\overline{)9648}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $9648$

$$\begin{array}{l}\phantom{94)}0\phantom{3}\\94\overline{)9648}\\\end{array}$$

Find closest multiple of $94$ to $96$. We see that $1 \times 94 = 94$ is the nearest. Now subtract $94$ from $96$ to get reminder $2$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{94)}01\phantom{4}\\94\overline{)9648}\\\phantom{94)}\underline{\phantom{}94\phantom{99}}\\\phantom{94)9}2\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $9648$

$$\begin{array}{l}\phantom{94)}01\phantom{5}\\94\overline{)9648}\\\phantom{94)}\underline{\phantom{}94\phantom{99}}\\\phantom{94)9}24\\\end{array}$$

Since $24$ is less than $94$, use the next digit $8$ from dividend $9648$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{94)}010\phantom{6}\\94\overline{)9648}\\\phantom{94)}\underline{\phantom{}94\phantom{99}}\\\phantom{94)9}24\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $9648$

$$\begin{array}{l}\phantom{94)}010\phantom{7}\\94\overline{)9648}\\\phantom{94)}\underline{\phantom{}94\phantom{99}}\\\phantom{94)9}248\\\end{array}$$

Find closest multiple of $94$ to $248$. We see that $2 \times 94 = 188$ is the nearest. Now subtract $188$ from $248$ to get reminder $60$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{94)}0102\phantom{8}\\94\overline{)9648}\\\phantom{94)}\underline{\phantom{}94\phantom{99}}\\\phantom{94)9}248\\\phantom{94)}\underline{\phantom{9}188\phantom{}}\\\phantom{94)99}60\\\end{array}$$

Since $60$ is less than $94$, stop the division. The reminder is $60$. The topmost line $0102$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $102$.

$$\text{Quotient: }102$$ $$\text{Reminder: }60$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 67}{47} = 102\frac{30}{47} = 102.63829787234043$