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 160/75 | Equatix

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Question

$$160/75$$

Evaluate

$\frac{32}{15}\approx 2.133333333$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)160}\\\end{array}$$

Since $1$ is less than $75$, use the next digit $6$ from dividend $160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)160}\\\end{array}$$

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

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)160}\\\end{array}$$

Since $16$ is less than $75$, use the next digit $0$ from dividend $160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)160}\\\end{array}$$

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

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)160}\\\end{array}$$

Find closest multiple of $75$ to $160$. We see that $2 \times 75 = 150$ is the nearest. Now subtract $150$ from $160$ to get reminder $10$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{75)}002\phantom{6}\\75\overline{)160}\\\phantom{75)}\underline{\phantom{}150\phantom{}}\\\phantom{75)9}10\\\end{array}$$

Since $10$ is less than $75$, stop the division. The reminder is $10$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 ^ {5}}{3 \cdot 5} = 2\frac{2}{15} = 2.1333333333333333$