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 36 0001 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$5256 \div 1000$$

Evaluate

$\frac{657}{125}=5.256$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5256$

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)5256}\\\end{array}$$

Since $5$ is less than $1000$, use the next digit $2$ from dividend $5256$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)5256}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $5256$

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)5256}\\\end{array}$$

Since $52$ is less than $1000$, use the next digit $5$ from dividend $5256$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)5256}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $5256$

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)5256}\\\end{array}$$

Since $525$ is less than $1000$, use the next digit $6$ from dividend $5256$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)5256}\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $5256$

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)5256}\\\end{array}$$

Find closest multiple of $1000$ to $5256$. We see that $5 \times 1000 = 5000$ is the nearest. Now subtract $5000$ from $5256$ to get reminder $256$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{1000)}0005\phantom{8}\\1000\overline{)5256}\\\phantom{1000)}\underline{\phantom{}5000\phantom{}}\\\phantom{1000)9}256\\\end{array}$$

Since $256$ is less than $1000$, stop the division. The reminder is $256$. The topmost line $0005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }256$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 73}{5 ^ {3}} = 5\frac{32}{125} = 5.256$