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 130/21 | Equatix

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Question

$$130/21$$

Evaluate

$\frac{130}{21}\approx 6.19047619$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $130$

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)130}\\\end{array}$$

Since $1$ is less than $21$, use the next digit $3$ from dividend $130$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)130}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $130$

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)130}\\\end{array}$$

Since $13$ is less than $21$, use the next digit $0$ from dividend $130$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)130}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $130$

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)130}\\\end{array}$$

Find closest multiple of $21$ to $130$. We see that $6 \times 21 = 126$ is the nearest. Now subtract $126$ from $130$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{21)}006\phantom{6}\\21\overline{)130}\\\phantom{21)}\underline{\phantom{}126\phantom{}}\\\phantom{21)99}4\\\end{array}$$

Since $4$ is less than $21$, stop the division. The reminder is $4$. The topmost line $006$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{2 \cdot 5 \cdot 13}{3 \cdot 7} = 6\frac{4}{21} = 6.190476190476191$