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 1943985 | Equatix

Use the $1^{st}$ digit $4$ from dividend $43985$

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)43985}\\\end{array}$$

Since $4$ is less than $19$, use the next digit $3$ from dividend $43985$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)43985}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $43985$

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)43985}\\\end{array}$$

Find closest multiple of $19$ to $43$. We see that $2 \times 19 = 38$ is the nearest. Now subtract $38$ from $43$ to get reminder $5$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{19)}02\phantom{4}\\19\overline{)43985}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)9}5\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $43985$

$$\begin{array}{l}\phantom{19)}02\phantom{5}\\19\overline{)43985}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)9}59\\\end{array}$$

Find closest multiple of $19$ to $59$. We see that $3 \times 19 = 57$ is the nearest. Now subtract $57$ from $59$ to get reminder $2$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{19)}023\phantom{6}\\19\overline{)43985}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)9}59\\\phantom{19)}\underline{\phantom{9}57\phantom{99}}\\\phantom{19)99}2\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $43985$

$$\begin{array}{l}\phantom{19)}023\phantom{7}\\19\overline{)43985}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)9}59\\\phantom{19)}\underline{\phantom{9}57\phantom{99}}\\\phantom{19)99}28\\\end{array}$$

Find closest multiple of $19$ to $28$. We see that $1 \times 19 = 19$ is the nearest. Now subtract $19$ from $28$ to get reminder $9$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{19)}0231\phantom{8}\\19\overline{)43985}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)9}59\\\phantom{19)}\underline{\phantom{9}57\phantom{99}}\\\phantom{19)99}28\\\phantom{19)}\underline{\phantom{99}19\phantom{9}}\\\phantom{19)999}9\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $43985$

$$\begin{array}{l}\phantom{19)}0231\phantom{9}\\19\overline{)43985}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)9}59\\\phantom{19)}\underline{\phantom{9}57\phantom{99}}\\\phantom{19)99}28\\\phantom{19)}\underline{\phantom{99}19\phantom{9}}\\\phantom{19)999}95\\\end{array}$$

Find closest multiple of $19$ to $95$. We see that $5 \times 19 = 95$ is the nearest. Now subtract $95$ from $95$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{19)}02315\phantom{10}\\19\overline{)43985}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)9}59\\\phantom{19)}\underline{\phantom{9}57\phantom{99}}\\\phantom{19)99}28\\\phantom{19)}\underline{\phantom{99}19\phantom{9}}\\\phantom{19)999}95\\\phantom{19)}\underline{\phantom{999}95\phantom{}}\\\phantom{19)99999}0\\\end{array}$$

Since $0$ is less than $19$, stop the division. The reminder is $0$. The topmost line $02315$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2315$.

$$\text{Quotient: }2315$$ $$\text{Reminder: }0$$

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