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 8829/28 | Equatix

Question

$$8829/28$$

Evaluate

$\frac{8829}{28}\approx 315.321428571$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8829$

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)8829}\\\end{array}$$

Since $8$ is less than $28$, use the next digit $8$ from dividend $8829$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)8829}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $8829$

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)8829}\\\end{array}$$

Find closest multiple of $28$ to $88$. We see that $3 \times 28 = 84$ is the nearest. Now subtract $84$ from $88$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{28)}03\phantom{4}\\28\overline{)8829}\\\phantom{28)}\underline{\phantom{}84\phantom{99}}\\\phantom{28)9}4\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $8829$

$$\begin{array}{l}\phantom{28)}03\phantom{5}\\28\overline{)8829}\\\phantom{28)}\underline{\phantom{}84\phantom{99}}\\\phantom{28)9}42\\\end{array}$$

Find closest multiple of $28$ to $42$. We see that $1 \times 28 = 28$ is the nearest. Now subtract $28$ from $42$ to get reminder $14$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{28)}031\phantom{6}\\28\overline{)8829}\\\phantom{28)}\underline{\phantom{}84\phantom{99}}\\\phantom{28)9}42\\\phantom{28)}\underline{\phantom{9}28\phantom{9}}\\\phantom{28)9}14\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $8829$

$$\begin{array}{l}\phantom{28)}031\phantom{7}\\28\overline{)8829}\\\phantom{28)}\underline{\phantom{}84\phantom{99}}\\\phantom{28)9}42\\\phantom{28)}\underline{\phantom{9}28\phantom{9}}\\\phantom{28)9}149\\\end{array}$$

Find closest multiple of $28$ to $149$. We see that $5 \times 28 = 140$ is the nearest. Now subtract $140$ from $149$ to get reminder $9$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{28)}0315\phantom{8}\\28\overline{)8829}\\\phantom{28)}\underline{\phantom{}84\phantom{99}}\\\phantom{28)9}42\\\phantom{28)}\underline{\phantom{9}28\phantom{9}}\\\phantom{28)9}149\\\phantom{28)}\underline{\phantom{9}140\phantom{}}\\\phantom{28)999}9\\\end{array}$$

Since $9$ is less than $28$, stop the division. The reminder is $9$. The topmost line $0315$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $315$.

$$\text{Quotient: }315$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{3 ^ {4} \cdot 109}{2 ^ {2} \cdot 7} = 315\frac{9}{28} = 315.32142857142856$

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Steps For Long Division Method

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