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.

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Question

$$\frac { 999 } { 144 }$$

Evaluate

$\frac{111}{16}=6.9375$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $999$

$$\begin{array}{l}\phantom{144)}\phantom{1}\\144\overline{)999}\\\end{array}$$

Since $9$ is less than $144$, use the next digit $9$ from dividend $999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{144)}0\phantom{2}\\144\overline{)999}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $999$

$$\begin{array}{l}\phantom{144)}0\phantom{3}\\144\overline{)999}\\\end{array}$$

Since $99$ is less than $144$, use the next digit $9$ from dividend $999$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{144)}00\phantom{4}\\144\overline{)999}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $999$

$$\begin{array}{l}\phantom{144)}00\phantom{5}\\144\overline{)999}\\\end{array}$$

Find closest multiple of $144$ to $999$. We see that $6 \times 144 = 864$ is the nearest. Now subtract $864$ from $999$ to get reminder $135$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{144)}006\phantom{6}\\144\overline{)999}\\\phantom{144)}\underline{\phantom{}864\phantom{}}\\\phantom{144)}135\\\end{array}$$

Since $135$ is less than $144$, stop the division. The reminder is $135$. The topmost line $006$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }135$$

Show Solution

Factor

$\frac{3 \cdot 37}{2 ^ {4}} = 6\frac{15}{16} = 6.9375$