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 582/59 | Equatix

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Question

$$582/59$$

Evaluate

$\frac{582}{59}\approx 9.86440678$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $582$

$$\begin{array}{l}\phantom{59)}\phantom{1}\\59\overline{)582}\\\end{array}$$

Since $5$ is less than $59$, use the next digit $8$ from dividend $582$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{59)}0\phantom{2}\\59\overline{)582}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $582$

$$\begin{array}{l}\phantom{59)}0\phantom{3}\\59\overline{)582}\\\end{array}$$

Since $58$ is less than $59$, use the next digit $2$ from dividend $582$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{59)}00\phantom{4}\\59\overline{)582}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $582$

$$\begin{array}{l}\phantom{59)}00\phantom{5}\\59\overline{)582}\\\end{array}$$

Find closest multiple of $59$ to $582$. We see that $9 \times 59 = 531$ is the nearest. Now subtract $531$ from $582$ to get reminder $51$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{59)}009\phantom{6}\\59\overline{)582}\\\phantom{59)}\underline{\phantom{}531\phantom{}}\\\phantom{59)9}51\\\end{array}$$

Since $51$ is less than $59$, stop the division. The reminder is $51$. The topmost line $009$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $9$.

$$\text{Quotient: }9$$ $$\text{Reminder: }51$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 97}{59} = 9\frac{51}{59} = 9.864406779661017$