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 202/63 | Equatix

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Question

$$202/63$$

Evaluate

$\frac{202}{63}\approx 3.206349206$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $202$

$$\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)202}\\\end{array}$$

Since $2$ is less than $63$, use the next digit $0$ from dividend $202$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)202}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $202$

$$\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)202}\\\end{array}$$

Since $20$ is less than $63$, use the next digit $2$ from dividend $202$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)202}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $202$

$$\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)202}\\\end{array}$$

Find closest multiple of $63$ to $202$. We see that $3 \times 63 = 189$ is the nearest. Now subtract $189$ from $202$ to get reminder $13$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{63)}003\phantom{6}\\63\overline{)202}\\\phantom{63)}\underline{\phantom{}189\phantom{}}\\\phantom{63)9}13\\\end{array}$$

Since $13$ is less than $63$, stop the division. The reminder is $13$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }13$$

Show Solution

Factor

$\frac{2 \cdot 101}{3 ^ {2} \cdot 7} = 3\frac{13}{63} = 3.2063492063492065$