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 97/15 | Equatix

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Question

$$\frac{97}{15}$$

Evaluate

$\frac{97}{15}\approx 6.466666667$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $97$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)97}\\\end{array}$$

Since $9$ is less than $15$, use the next digit $7$ from dividend $97$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)97}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $97$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)97}\\\end{array}$$

Find closest multiple of $15$ to $97$. We see that $6 \times 15 = 90$ is the nearest. Now subtract $90$ from $97$ to get reminder $7$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{15)}06\phantom{4}\\15\overline{)97}\\\phantom{15)}\underline{\phantom{}90\phantom{}}\\\phantom{15)9}7\\\end{array}$$

Since $7$ is less than $15$, stop the division. The reminder is $7$. The topmost line $06$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{97}{3 \cdot 5} = 6\frac{7}{15} = 6.466666666666667$