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 160/77 | Equatix

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Question

$$160/77$$

Evaluate

$\frac{160}{77}\approx 2.077922078$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $160$

$$\begin{array}{l}\phantom{77)}\phantom{1}\\77\overline{)160}\\\end{array}$$

Since $1$ is less than $77$, use the next digit $6$ from dividend $160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{77)}0\phantom{2}\\77\overline{)160}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $160$

$$\begin{array}{l}\phantom{77)}0\phantom{3}\\77\overline{)160}\\\end{array}$$

Since $16$ is less than $77$, use the next digit $0$ from dividend $160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{77)}00\phantom{4}\\77\overline{)160}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $160$

$$\begin{array}{l}\phantom{77)}00\phantom{5}\\77\overline{)160}\\\end{array}$$

Find closest multiple of $77$ to $160$. We see that $2 \times 77 = 154$ is the nearest. Now subtract $154$ from $160$ to get reminder $6$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{77)}002\phantom{6}\\77\overline{)160}\\\phantom{77)}\underline{\phantom{}154\phantom{}}\\\phantom{77)99}6\\\end{array}$$

Since $6$ is less than $77$, stop the division. The reminder is $6$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{2 ^ {5} \cdot 5}{7 \cdot 11} = 2\frac{6}{77} = 2.0779220779220777$