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 8414/10 | Equatix

Question

$$8414\div10$$

Evaluate

$\frac{4207}{5}=841.4$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8414$

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)8414}\\\end{array}$$

Since $8$ is less than $10$, use the next digit $4$ from dividend $8414$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)8414}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $8414$

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)8414}\\\end{array}$$

Find closest multiple of $10$ to $84$. We see that $8 \times 10 = 80$ is the nearest. Now subtract $80$ from $84$ to get reminder $4$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{10)}08\phantom{4}\\10\overline{)8414}\\\phantom{10)}\underline{\phantom{}80\phantom{99}}\\\phantom{10)9}4\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $8414$

$$\begin{array}{l}\phantom{10)}08\phantom{5}\\10\overline{)8414}\\\phantom{10)}\underline{\phantom{}80\phantom{99}}\\\phantom{10)9}41\\\end{array}$$

Find closest multiple of $10$ to $41$. We see that $4 \times 10 = 40$ is the nearest. Now subtract $40$ from $41$ to get reminder $1$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{10)}084\phantom{6}\\10\overline{)8414}\\\phantom{10)}\underline{\phantom{}80\phantom{99}}\\\phantom{10)9}41\\\phantom{10)}\underline{\phantom{9}40\phantom{9}}\\\phantom{10)99}1\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $8414$

$$\begin{array}{l}\phantom{10)}084\phantom{7}\\10\overline{)8414}\\\phantom{10)}\underline{\phantom{}80\phantom{99}}\\\phantom{10)9}41\\\phantom{10)}\underline{\phantom{9}40\phantom{9}}\\\phantom{10)99}14\\\end{array}$$

Find closest multiple of $10$ to $14$. We see that $1 \times 10 = 10$ is the nearest. Now subtract $10$ from $14$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{10)}0841\phantom{8}\\10\overline{)8414}\\\phantom{10)}\underline{\phantom{}80\phantom{99}}\\\phantom{10)9}41\\\phantom{10)}\underline{\phantom{9}40\phantom{9}}\\\phantom{10)99}14\\\phantom{10)}\underline{\phantom{99}10\phantom{}}\\\phantom{10)999}4\\\end{array}$$

Since $4$ is less than $10$, stop the division. The reminder is $4$. The topmost line $0841$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $841$.

$$\text{Quotient: }841$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{7 \cdot 601}{5} = 841\frac{2}{5} = 841.4$

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Steps For Long Division Method

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