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 212467 | Equatix

Question

$$\frac { 2467 } { 21 }$$

Evaluate

$\frac{2467}{21}\approx 117.476190476$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2467$

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)2467}\\\end{array}$$

Since $2$ is less than $21$, use the next digit $4$ from dividend $2467$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)2467}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $2467$

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)2467}\\\end{array}$$

Find closest multiple of $21$ to $24$. We see that $1 \times 21 = 21$ is the nearest. Now subtract $21$ from $24$ to get reminder $3$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{21)}01\phantom{4}\\21\overline{)2467}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}3\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $2467$

$$\begin{array}{l}\phantom{21)}01\phantom{5}\\21\overline{)2467}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}36\\\end{array}$$

Find closest multiple of $21$ to $36$. We see that $1 \times 21 = 21$ is the nearest. Now subtract $21$ from $36$ to get reminder $15$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{21)}011\phantom{6}\\21\overline{)2467}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}36\\\phantom{21)}\underline{\phantom{9}21\phantom{9}}\\\phantom{21)9}15\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $2467$

$$\begin{array}{l}\phantom{21)}011\phantom{7}\\21\overline{)2467}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}36\\\phantom{21)}\underline{\phantom{9}21\phantom{9}}\\\phantom{21)9}157\\\end{array}$$

Find closest multiple of $21$ to $157$. We see that $7 \times 21 = 147$ is the nearest. Now subtract $147$ from $157$ to get reminder $10$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{21)}0117\phantom{8}\\21\overline{)2467}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}36\\\phantom{21)}\underline{\phantom{9}21\phantom{9}}\\\phantom{21)9}157\\\phantom{21)}\underline{\phantom{9}147\phantom{}}\\\phantom{21)99}10\\\end{array}$$

Since $10$ is less than $21$, stop the division. The reminder is $10$. The topmost line $0117$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $117$.

$$\text{Quotient: }117$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2467}{3 \cdot 7} = 117\frac{10}{21} = 117.47619047619048$

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Steps For Long Division Method

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