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 3426/22 | Equatix

Question

$$3426\div22$$

Evaluate

$\frac{1713}{11}\approx 155.727272727$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3426$

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)3426}\\\end{array}$$

Since $3$ is less than $22$, use the next digit $4$ from dividend $3426$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)3426}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $3426$

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)3426}\\\end{array}$$

Find closest multiple of $22$ to $34$. We see that $1 \times 22 = 22$ is the nearest. Now subtract $22$ from $34$ to get reminder $12$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{22)}01\phantom{4}\\22\overline{)3426}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)}12\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $3426$

$$\begin{array}{l}\phantom{22)}01\phantom{5}\\22\overline{)3426}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)}122\\\end{array}$$

Find closest multiple of $22$ to $122$. We see that $5 \times 22 = 110$ is the nearest. Now subtract $110$ from $122$ to get reminder $12$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{22)}015\phantom{6}\\22\overline{)3426}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)}122\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}12\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $3426$

$$\begin{array}{l}\phantom{22)}015\phantom{7}\\22\overline{)3426}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)}122\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}126\\\end{array}$$

Find closest multiple of $22$ to $126$. We see that $5 \times 22 = 110$ is the nearest. Now subtract $110$ from $126$ to get reminder $16$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{22)}0155\phantom{8}\\22\overline{)3426}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)}122\\\phantom{22)}\underline{\phantom{}110\phantom{9}}\\\phantom{22)9}126\\\phantom{22)}\underline{\phantom{9}110\phantom{}}\\\phantom{22)99}16\\\end{array}$$

Since $16$ is less than $22$, stop the division. The reminder is $16$. The topmost line $0155$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $155$.

$$\text{Quotient: }155$$ $$\text{Reminder: }16$$

Show Solution

Factor

$\frac{3 \cdot 571}{11} = 155\frac{8}{11} = 155.72727272727272$

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Steps For Long Division Method

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