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 113/20 | Equatix

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Question

$$113/20$$

Evaluate

$\frac{113}{20}=5.65$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $113$

$$\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)113}\\\end{array}$$

Since $1$ is less than $20$, use the next digit $1$ from dividend $113$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)113}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $113$

$$\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)113}\\\end{array}$$

Since $11$ is less than $20$, use the next digit $3$ from dividend $113$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)113}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $113$

$$\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)113}\\\end{array}$$

Find closest multiple of $20$ to $113$. We see that $5 \times 20 = 100$ is the nearest. Now subtract $100$ from $113$ to get reminder $13$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{20)}005\phantom{6}\\20\overline{)113}\\\phantom{20)}\underline{\phantom{}100\phantom{}}\\\phantom{20)9}13\\\end{array}$$

Since $13$ is less than $20$, stop the division. The reminder is $13$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }13$$

Show Solution

Factor

$\frac{113}{2 ^ {2} \cdot 5} = 5\frac{13}{20} = 5.65$