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 768/686 | Equatix

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Question

$$\frac{768}{686}$$

Evaluate

$\frac{384}{343}\approx 1.119533528$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $768$

$$\begin{array}{l}\phantom{686)}\phantom{1}\\686\overline{)768}\\\end{array}$$

Since $7$ is less than $686$, use the next digit $6$ from dividend $768$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{686)}0\phantom{2}\\686\overline{)768}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $768$

$$\begin{array}{l}\phantom{686)}0\phantom{3}\\686\overline{)768}\\\end{array}$$

Since $76$ is less than $686$, use the next digit $8$ from dividend $768$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{686)}00\phantom{4}\\686\overline{)768}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $768$

$$\begin{array}{l}\phantom{686)}00\phantom{5}\\686\overline{)768}\\\end{array}$$

Find closest multiple of $686$ to $768$. We see that $1 \times 686 = 686$ is the nearest. Now subtract $686$ from $768$ to get reminder $82$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{686)}001\phantom{6}\\686\overline{)768}\\\phantom{686)}\underline{\phantom{}686\phantom{}}\\\phantom{686)9}82\\\end{array}$$

Since $82$ is less than $686$, stop the division. The reminder is $82$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }82$$

Show Solution

Factor

$\frac{2 ^ {7} \cdot 3}{7 ^ {3}} = 1\frac{41}{343} = 1.119533527696793$