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 9822/25 | Equatix

Question

$$9822\div25$$

Evaluate

$\frac{9822}{25}=392.88$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9822$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)9822}\\\end{array}$$

Since $9$ is less than $25$, use the next digit $8$ from dividend $9822$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)9822}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $9822$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)9822}\\\end{array}$$

Find closest multiple of $25$ to $98$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $98$ to get reminder $23$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)9822}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}23\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $9822$

$$\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)9822}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}232\\\end{array}$$

Find closest multiple of $25$ to $232$. We see that $9 \times 25 = 225$ is the nearest. Now subtract $225$ from $232$ to get reminder $7$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{25)}039\phantom{6}\\25\overline{)9822}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}232\\\phantom{25)}\underline{\phantom{}225\phantom{9}}\\\phantom{25)99}7\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $9822$

$$\begin{array}{l}\phantom{25)}039\phantom{7}\\25\overline{)9822}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}232\\\phantom{25)}\underline{\phantom{}225\phantom{9}}\\\phantom{25)99}72\\\end{array}$$

Find closest multiple of $25$ to $72$. We see that $2 \times 25 = 50$ is the nearest. Now subtract $50$ from $72$ to get reminder $22$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{25)}0392\phantom{8}\\25\overline{)9822}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}232\\\phantom{25)}\underline{\phantom{}225\phantom{9}}\\\phantom{25)99}72\\\phantom{25)}\underline{\phantom{99}50\phantom{}}\\\phantom{25)99}22\\\end{array}$$

Since $22$ is less than $25$, stop the division. The reminder is $22$. The topmost line $0392$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $392$.

$$\text{Quotient: }392$$ $$\text{Reminder: }22$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 1637}{5 ^ {2}} = 392\frac{22}{25} = 392.88$

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Steps For Long Division Method

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