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 160/72 | Equatix

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Question

$$160/72$$

Evaluate

$\frac{20}{9}\approx 2.222222222$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)160}\\\end{array}$$

Since $1$ is less than $72$, use the next digit $6$ from dividend $160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)160}\\\end{array}$$

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

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)160}\\\end{array}$$

Since $16$ is less than $72$, use the next digit $0$ from dividend $160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)160}\\\end{array}$$

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

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)160}\\\end{array}$$

Find closest multiple of $72$ to $160$. We see that $2 \times 72 = 144$ is the nearest. Now subtract $144$ from $160$ to get reminder $16$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{72)}002\phantom{6}\\72\overline{)160}\\\phantom{72)}\underline{\phantom{}144\phantom{}}\\\phantom{72)9}16\\\end{array}$$

Since $16$ is less than $72$, stop the division. The reminder is $16$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }16$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$