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 72890% | Equatix

Question

$$72890 \%$$

Evaluate

$\frac{7289}{10}=728.9$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $72890$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)72890}\\\end{array}$$

Since $7$ is less than $100$, use the next digit $2$ from dividend $72890$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)72890}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $72890$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)72890}\\\end{array}$$

Since $72$ is less than $100$, use the next digit $8$ from dividend $72890$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)72890}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $72890$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)72890}\\\end{array}$$

Find closest multiple of $100$ to $728$. We see that $7 \times 100 = 700$ is the nearest. Now subtract $700$ from $728$ to get reminder $28$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{100)}007\phantom{6}\\100\overline{)72890}\\\phantom{100)}\underline{\phantom{}700\phantom{99}}\\\phantom{100)9}28\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $72890$

$$\begin{array}{l}\phantom{100)}007\phantom{7}\\100\overline{)72890}\\\phantom{100)}\underline{\phantom{}700\phantom{99}}\\\phantom{100)9}289\\\end{array}$$

Find closest multiple of $100$ to $289$. We see that $2 \times 100 = 200$ is the nearest. Now subtract $200$ from $289$ to get reminder $89$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{100)}0072\phantom{8}\\100\overline{)72890}\\\phantom{100)}\underline{\phantom{}700\phantom{99}}\\\phantom{100)9}289\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}89\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $72890$

$$\begin{array}{l}\phantom{100)}0072\phantom{9}\\100\overline{)72890}\\\phantom{100)}\underline{\phantom{}700\phantom{99}}\\\phantom{100)9}289\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}890\\\end{array}$$

Find closest multiple of $100$ to $890$. We see that $8 \times 100 = 800$ is the nearest. Now subtract $800$ from $890$ to get reminder $90$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{100)}00728\phantom{10}\\100\overline{)72890}\\\phantom{100)}\underline{\phantom{}700\phantom{99}}\\\phantom{100)9}289\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}890\\\phantom{100)}\underline{\phantom{99}800\phantom{}}\\\phantom{100)999}90\\\end{array}$$

Since $90$ is less than $100$, stop the division. The reminder is $90$. The topmost line $00728$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $728$.

$$\text{Quotient: }728$$ $$\text{Reminder: }90$$

Show Solution

Factor

$\frac{37 \cdot 197}{2 \cdot 5} = 728\frac{9}{10} = 728.9$

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Steps For Long Division Method

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