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 65/12 | Equatix

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Question

$$65\div12$$

Evaluate

$\frac{65}{12}\approx 5.416666667$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $65$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)65}\\\end{array}$$

Since $6$ is less than $12$, use the next digit $5$ from dividend $65$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)65}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $65$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)65}\\\end{array}$$

Find closest multiple of $12$ to $65$. We see that $5 \times 12 = 60$ is the nearest. Now subtract $60$ from $65$ to get reminder $5$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{12)}05\phantom{4}\\12\overline{)65}\\\phantom{12)}\underline{\phantom{}60\phantom{}}\\\phantom{12)9}5\\\end{array}$$

Since $5$ is less than $12$, stop the division. The reminder is $5$. The topmost line $05$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

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

Show Solution

Factor

$\frac{5 \cdot 13}{2 ^ {2} \cdot 3} = 5\frac{5}{12} = 5.416666666666667$