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 99999 | Equatix

Question

$$99999 \div 115$$

Evaluate

$\frac{99999}{115}\approx 869.556521739$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $99999$

$$\begin{array}{l}\phantom{115)}\phantom{1}\\115\overline{)99999}\\\end{array}$$

Since $9$ is less than $115$, use the next digit $9$ from dividend $99999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{115)}0\phantom{2}\\115\overline{)99999}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $99999$

$$\begin{array}{l}\phantom{115)}0\phantom{3}\\115\overline{)99999}\\\end{array}$$

Since $99$ is less than $115$, use the next digit $9$ from dividend $99999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{115)}00\phantom{4}\\115\overline{)99999}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $99999$

$$\begin{array}{l}\phantom{115)}00\phantom{5}\\115\overline{)99999}\\\end{array}$$

Find closest multiple of $115$ to $999$. We see that $8 \times 115 = 920$ is the nearest. Now subtract $920$ from $999$ to get reminder $79$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{115)}008\phantom{6}\\115\overline{)99999}\\\phantom{115)}\underline{\phantom{}920\phantom{99}}\\\phantom{115)9}79\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $99999$

$$\begin{array}{l}\phantom{115)}008\phantom{7}\\115\overline{)99999}\\\phantom{115)}\underline{\phantom{}920\phantom{99}}\\\phantom{115)9}799\\\end{array}$$

Find closest multiple of $115$ to $799$. We see that $6 \times 115 = 690$ is the nearest. Now subtract $690$ from $799$ to get reminder $109$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{115)}0086\phantom{8}\\115\overline{)99999}\\\phantom{115)}\underline{\phantom{}920\phantom{99}}\\\phantom{115)9}799\\\phantom{115)}\underline{\phantom{9}690\phantom{9}}\\\phantom{115)9}109\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $99999$

$$\begin{array}{l}\phantom{115)}0086\phantom{9}\\115\overline{)99999}\\\phantom{115)}\underline{\phantom{}920\phantom{99}}\\\phantom{115)9}799\\\phantom{115)}\underline{\phantom{9}690\phantom{9}}\\\phantom{115)9}1099\\\end{array}$$

Find closest multiple of $115$ to $1099$. We see that $9 \times 115 = 1035$ is the nearest. Now subtract $1035$ from $1099$ to get reminder $64$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{115)}00869\phantom{10}\\115\overline{)99999}\\\phantom{115)}\underline{\phantom{}920\phantom{99}}\\\phantom{115)9}799\\\phantom{115)}\underline{\phantom{9}690\phantom{9}}\\\phantom{115)9}1099\\\phantom{115)}\underline{\phantom{9}1035\phantom{}}\\\phantom{115)999}64\\\end{array}$$

Since $64$ is less than $115$, stop the division. The reminder is $64$. The topmost line $00869$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $869$.

$$\text{Quotient: }869$$ $$\text{Reminder: }64$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 41 \cdot 271}{5 \cdot 23} = 869\frac{64}{115} = 869.5565217391304$

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Steps For Long Division Method

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