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

$$\frac { 210 } { 150 }$$

Evaluate

$\frac{7}{5}=1.4$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $210$

$$\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)210}\\\end{array}$$

Since $2$ is less than $150$, use the next digit $1$ from dividend $210$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)210}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $210$

$$\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)210}\\\end{array}$$

Since $21$ is less than $150$, use the next digit $0$ from dividend $210$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)210}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $210$

$$\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)210}\\\end{array}$$

Find closest multiple of $150$ to $210$. We see that $1 \times 150 = 150$ is the nearest. Now subtract $150$ from $210$ to get reminder $60$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{150)}001\phantom{6}\\150\overline{)210}\\\phantom{150)}\underline{\phantom{}150\phantom{}}\\\phantom{150)9}60\\\end{array}$$

Since $60$ is less than $150$, stop the division. The reminder is $60$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }60$$

Show Solution

Factor

$\frac{7}{5} = 1\frac{2}{5} = 1.4$