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 5580/48 | Equatix

Question

$$5580/48$$

Evaluate

$\frac{465}{4}=116.25$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5580$

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)5580}\\\end{array}$$

Since $5$ is less than $48$, use the next digit $5$ from dividend $5580$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)5580}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $5580$

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)5580}\\\end{array}$$

Find closest multiple of $48$ to $55$. We see that $1 \times 48 = 48$ is the nearest. Now subtract $48$ from $55$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{48)}01\phantom{4}\\48\overline{)5580}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)9}7\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $5580$

$$\begin{array}{l}\phantom{48)}01\phantom{5}\\48\overline{)5580}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)9}78\\\end{array}$$

Find closest multiple of $48$ to $78$. We see that $1 \times 48 = 48$ is the nearest. Now subtract $48$ from $78$ to get reminder $30$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{48)}011\phantom{6}\\48\overline{)5580}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)9}78\\\phantom{48)}\underline{\phantom{9}48\phantom{9}}\\\phantom{48)9}30\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $5580$

$$\begin{array}{l}\phantom{48)}011\phantom{7}\\48\overline{)5580}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)9}78\\\phantom{48)}\underline{\phantom{9}48\phantom{9}}\\\phantom{48)9}300\\\end{array}$$

Find closest multiple of $48$ to $300$. We see that $6 \times 48 = 288$ is the nearest. Now subtract $288$ from $300$ to get reminder $12$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{48)}0116\phantom{8}\\48\overline{)5580}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)9}78\\\phantom{48)}\underline{\phantom{9}48\phantom{9}}\\\phantom{48)9}300\\\phantom{48)}\underline{\phantom{9}288\phantom{}}\\\phantom{48)99}12\\\end{array}$$

Since $12$ is less than $48$, stop the division. The reminder is $12$. The topmost line $0116$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $116$.

$$\text{Quotient: }116$$ $$\text{Reminder: }12$$

Show Solution

Factor

$\frac{3 \cdot 5 \cdot 31}{2 ^ {2}} = 116\frac{1}{4} = 116.25$

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Steps For Long Division Method

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