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 23 | Equatix - Math Solver

Use the $1^{st}$ digit $1$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}\phantom{1}\\8123\overline{)12345681}\\\end{array}$$

Since $1$ is less than $8123$, use the next digit $2$ from dividend $12345681$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8123)}0\phantom{2}\\8123\overline{)12345681}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}0\phantom{3}\\8123\overline{)12345681}\\\end{array}$$

Since $12$ is less than $8123$, use the next digit $3$ from dividend $12345681$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8123)}00\phantom{4}\\8123\overline{)12345681}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}00\phantom{5}\\8123\overline{)12345681}\\\end{array}$$

Since $123$ is less than $8123$, use the next digit $4$ from dividend $12345681$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8123)}000\phantom{6}\\8123\overline{)12345681}\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}000\phantom{7}\\8123\overline{)12345681}\\\end{array}$$

Since $1234$ is less than $8123$, use the next digit $5$ from dividend $12345681$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{8123)}0000\phantom{8}\\8123\overline{)12345681}\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}0000\phantom{9}\\8123\overline{)12345681}\\\end{array}$$

Find closest multiple of $8123$ to $12345$. We see that $1 \times 8123 = 8123$ is the nearest. Now subtract $8123$ from $12345$ to get reminder $4222$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{8123)}00001\phantom{10}\\8123\overline{)12345681}\\\phantom{8123)}\underline{\phantom{9}8123\phantom{999}}\\\phantom{8123)9}4222\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}00001\phantom{11}\\8123\overline{)12345681}\\\phantom{8123)}\underline{\phantom{9}8123\phantom{999}}\\\phantom{8123)9}42226\\\end{array}$$

Find closest multiple of $8123$ to $42226$. We see that $5 \times 8123 = 40615$ is the nearest. Now subtract $40615$ from $42226$ to get reminder $1611$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{8123)}000015\phantom{12}\\8123\overline{)12345681}\\\phantom{8123)}\underline{\phantom{9}8123\phantom{999}}\\\phantom{8123)9}42226\\\phantom{8123)}\underline{\phantom{9}40615\phantom{99}}\\\phantom{8123)99}1611\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}000015\phantom{13}\\8123\overline{)12345681}\\\phantom{8123)}\underline{\phantom{9}8123\phantom{999}}\\\phantom{8123)9}42226\\\phantom{8123)}\underline{\phantom{9}40615\phantom{99}}\\\phantom{8123)99}16118\\\end{array}$$

Find closest multiple of $8123$ to $16118$. We see that $1 \times 8123 = 8123$ is the nearest. Now subtract $8123$ from $16118$ to get reminder $7995$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{8123)}0000151\phantom{14}\\8123\overline{)12345681}\\\phantom{8123)}\underline{\phantom{9}8123\phantom{999}}\\\phantom{8123)9}42226\\\phantom{8123)}\underline{\phantom{9}40615\phantom{99}}\\\phantom{8123)99}16118\\\phantom{8123)}\underline{\phantom{999}8123\phantom{9}}\\\phantom{8123)999}7995\\\end{array}$$

Use the $8^{th}$ digit $1$ from dividend $12345681$

$$\begin{array}{l}\phantom{8123)}0000151\phantom{15}\\8123\overline{)12345681}\\\phantom{8123)}\underline{\phantom{9}8123\phantom{999}}\\\phantom{8123)9}42226\\\phantom{8123)}\underline{\phantom{9}40615\phantom{99}}\\\phantom{8123)99}16118\\\phantom{8123)}\underline{\phantom{999}8123\phantom{9}}\\\phantom{8123)999}79951\\\end{array}$$

Find closest multiple of $8123$ to $79951$. We see that $9 \times 8123 = 73107$ is the nearest. Now subtract $73107$ from $79951$ to get reminder $6844$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{8123)}00001519\phantom{16}\\8123\overline{)12345681}\\\phantom{8123)}\underline{\phantom{9}8123\phantom{999}}\\\phantom{8123)9}42226\\\phantom{8123)}\underline{\phantom{9}40615\phantom{99}}\\\phantom{8123)99}16118\\\phantom{8123)}\underline{\phantom{999}8123\phantom{9}}\\\phantom{8123)999}79951\\\phantom{8123)}\underline{\phantom{999}73107\phantom{}}\\\phantom{8123)9999}6844\\\end{array}$$

Since $6844$ is less than $8123$, stop the division. The reminder is $6844$. The topmost line $00001519$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1519$.

$$\text{Quotient: }1519$$ $$\text{Reminder: }6844$$

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