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 27/11 | Equatix

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Question

$$27/11$$

Evaluate

$\frac{27}{11}\approx 2.454545455$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $27$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)27}\\\end{array}$$

Since $2$ is less than $11$, use the next digit $7$ from dividend $27$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)27}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $27$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)27}\\\end{array}$$

Find closest multiple of $11$ to $27$. We see that $2 \times 11 = 22$ is the nearest. Now subtract $22$ from $27$ to get reminder $5$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{11)}02\phantom{4}\\11\overline{)27}\\\phantom{11)}\underline{\phantom{}22\phantom{}}\\\phantom{11)9}5\\\end{array}$$

Since $5$ is less than $11$, stop the division. The reminder is $5$. The topmost line $02$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{3 ^ {3}}{11} = 2\frac{5}{11} = 2.4545454545454546$