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 27/13 | Equatix

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Question

$$27:13$$

Evaluate

$\frac{27}{13}\approx 2.076923077$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)27}\\\end{array}$$

Since $2$ is less than $13$, use the next digit $7$ from dividend $27$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)27}\\\end{array}$$

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

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)27}\\\end{array}$$

Find closest multiple of $13$ to $27$. We see that $2 \times 13 = 26$ is the nearest. Now subtract $26$ from $27$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)27}\\\phantom{13)}\underline{\phantom{}26\phantom{}}\\\phantom{13)9}1\\\end{array}$$

Since $1$ is less than $13$, stop the division. The reminder is $1$. The topmost line $02$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{3 ^ {3}}{13} = 2\frac{1}{13} = 2.076923076923077$