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 8235/25 | Equatix

Question

$$8235/25$$

Evaluate

$\frac{1647}{5}=329.4$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8235$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)8235}\\\end{array}$$

Since $8$ is less than $25$, use the next digit $2$ from dividend $8235$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)8235}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $8235$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)8235}\\\end{array}$$

Find closest multiple of $25$ to $82$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $82$ to get reminder $7$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)8235}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)9}7\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $8235$

$$\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)8235}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)9}73\\\end{array}$$

Find closest multiple of $25$ to $73$. We see that $2 \times 25 = 50$ is the nearest. Now subtract $50$ from $73$ to get reminder $23$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{25)}032\phantom{6}\\25\overline{)8235}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)9}73\\\phantom{25)}\underline{\phantom{9}50\phantom{9}}\\\phantom{25)9}23\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $8235$

$$\begin{array}{l}\phantom{25)}032\phantom{7}\\25\overline{)8235}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)9}73\\\phantom{25)}\underline{\phantom{9}50\phantom{9}}\\\phantom{25)9}235\\\end{array}$$

Find closest multiple of $25$ to $235$. We see that $9 \times 25 = 225$ is the nearest. Now subtract $225$ from $235$ to get reminder $10$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{25)}0329\phantom{8}\\25\overline{)8235}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)9}73\\\phantom{25)}\underline{\phantom{9}50\phantom{9}}\\\phantom{25)9}235\\\phantom{25)}\underline{\phantom{9}225\phantom{}}\\\phantom{25)99}10\\\end{array}$$

Since $10$ is less than $25$, stop the division. The reminder is $10$. The topmost line $0329$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $329$.

$$\text{Quotient: }329$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{3 ^ {3} \cdot 61}{5} = 329\frac{2}{5} = 329.4$

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Steps For Long Division Method

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