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 10176 | Equatix

Use the $1^{st}$ digit $1$ from dividend $10176$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)10176}\\\end{array}$$

Since $1$ is less than $12$, use the next digit $0$ from dividend $10176$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)10176}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $10176$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)10176}\\\end{array}$$

Since $10$ is less than $12$, use the next digit $1$ from dividend $10176$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)10176}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $10176$

$$\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)10176}\\\end{array}$$

Find closest multiple of $12$ to $101$. We see that $8 \times 12 = 96$ is the nearest. Now subtract $96$ from $101$ to get reminder $5$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{12)}008\phantom{6}\\12\overline{)10176}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}5\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $10176$

$$\begin{array}{l}\phantom{12)}008\phantom{7}\\12\overline{)10176}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}57\\\end{array}$$

Find closest multiple of $12$ to $57$. We see that $4 \times 12 = 48$ is the nearest. Now subtract $48$ from $57$ to get reminder $9$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{12)}0084\phantom{8}\\12\overline{)10176}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}57\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}9\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $10176$

$$\begin{array}{l}\phantom{12)}0084\phantom{9}\\12\overline{)10176}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}57\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}96\\\end{array}$$

Find closest multiple of $12$ to $96$. We see that $8 \times 12 = 96$ is the nearest. Now subtract $96$ from $96$ to get reminder $0$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{12)}00848\phantom{10}\\12\overline{)10176}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}57\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}96\\\phantom{12)}\underline{\phantom{999}96\phantom{}}\\\phantom{12)99999}0\\\end{array}$$

Since $0$ is less than $12$, stop the division. The reminder is $0$. The topmost line $00848$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $848$.

$$\text{Quotient: }848$$ $$\text{Reminder: }0$$

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