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 568/91 | Equatix

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Question

$$568/91$$

Evaluate

$\frac{568}{91}\approx 6.241758242$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $568$

$$\begin{array}{l}\phantom{91)}\phantom{1}\\91\overline{)568}\\\end{array}$$

Since $5$ is less than $91$, use the next digit $6$ from dividend $568$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{91)}0\phantom{2}\\91\overline{)568}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $568$

$$\begin{array}{l}\phantom{91)}0\phantom{3}\\91\overline{)568}\\\end{array}$$

Since $56$ is less than $91$, use the next digit $8$ from dividend $568$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{91)}00\phantom{4}\\91\overline{)568}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $568$

$$\begin{array}{l}\phantom{91)}00\phantom{5}\\91\overline{)568}\\\end{array}$$

Find closest multiple of $91$ to $568$. We see that $6 \times 91 = 546$ is the nearest. Now subtract $546$ from $568$ to get reminder $22$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{91)}006\phantom{6}\\91\overline{)568}\\\phantom{91)}\underline{\phantom{}546\phantom{}}\\\phantom{91)9}22\\\end{array}$$

Since $22$ is less than $91$, stop the division. The reminder is $22$. The topmost line $006$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }22$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 71}{7 \cdot 13} = 6\frac{22}{91} = 6.241758241758242$