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 5431/22 | Equatix

Question

$$5431/22$$

Evaluate

$\frac{5431}{22}\approx 246.863636364$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5431$

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)5431}\\\end{array}$$

Since $5$ is less than $22$, use the next digit $4$ from dividend $5431$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)5431}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $5431$

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)5431}\\\end{array}$$

Find closest multiple of $22$ to $54$. We see that $2 \times 22 = 44$ is the nearest. Now subtract $44$ from $54$ to get reminder $10$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)5431}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}10\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $5431$

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)5431}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}103\\\end{array}$$

Find closest multiple of $22$ to $103$. We see that $4 \times 22 = 88$ is the nearest. Now subtract $88$ from $103$ to get reminder $15$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{22)}024\phantom{6}\\22\overline{)5431}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}103\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}15\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $5431$

$$\begin{array}{l}\phantom{22)}024\phantom{7}\\22\overline{)5431}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}103\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}151\\\end{array}$$

Find closest multiple of $22$ to $151$. We see that $6 \times 22 = 132$ is the nearest. Now subtract $132$ from $151$ to get reminder $19$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{22)}0246\phantom{8}\\22\overline{)5431}\\\phantom{22)}\underline{\phantom{}44\phantom{99}}\\\phantom{22)}103\\\phantom{22)}\underline{\phantom{9}88\phantom{9}}\\\phantom{22)9}151\\\phantom{22)}\underline{\phantom{9}132\phantom{}}\\\phantom{22)99}19\\\end{array}$$

Since $19$ is less than $22$, stop the division. The reminder is $19$. The topmost line $0246$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $246$.

$$\text{Quotient: }246$$ $$\text{Reminder: }19$$

Show Solution

Factor

$\frac{5431}{2 \cdot 11} = 246\frac{19}{22} = 246.86363636363637$

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Steps For Long Division Method

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