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 7887/14 | Equatix

Question

$$7887\div14$$

Evaluate

$\frac{7887}{14}\approx 563.357142857$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7887$

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)7887}\\\end{array}$$

Since $7$ is less than $14$, use the next digit $8$ from dividend $7887$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)7887}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $7887$

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)7887}\\\end{array}$$

Find closest multiple of $14$ to $78$. We see that $5 \times 14 = 70$ is the nearest. Now subtract $70$ from $78$ to get reminder $8$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{14)}05\phantom{4}\\14\overline{)7887}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}8\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $7887$

$$\begin{array}{l}\phantom{14)}05\phantom{5}\\14\overline{)7887}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}88\\\end{array}$$

Find closest multiple of $14$ to $88$. We see that $6 \times 14 = 84$ is the nearest. Now subtract $84$ from $88$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{14)}056\phantom{6}\\14\overline{)7887}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}88\\\phantom{14)}\underline{\phantom{9}84\phantom{9}}\\\phantom{14)99}4\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $7887$

$$\begin{array}{l}\phantom{14)}056\phantom{7}\\14\overline{)7887}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}88\\\phantom{14)}\underline{\phantom{9}84\phantom{9}}\\\phantom{14)99}47\\\end{array}$$

Find closest multiple of $14$ to $47$. We see that $3 \times 14 = 42$ is the nearest. Now subtract $42$ from $47$ to get reminder $5$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{14)}0563\phantom{8}\\14\overline{)7887}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}88\\\phantom{14)}\underline{\phantom{9}84\phantom{9}}\\\phantom{14)99}47\\\phantom{14)}\underline{\phantom{99}42\phantom{}}\\\phantom{14)999}5\\\end{array}$$

Since $5$ is less than $14$, stop the division. The reminder is $5$. The topmost line $0563$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $563$.

$$\text{Quotient: }563$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{3 \cdot 11 \cdot 239}{2 \cdot 7} = 563\frac{5}{14} = 563.3571428571429$

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Steps For Long Division Method

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