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 1300/29 | Equatix

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Question

$$1300/29$$

Evaluate

$\frac{1300}{29}\approx 44.827586207$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1300$

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)1300}\\\end{array}$$

Since $1$ is less than $29$, use the next digit $3$ from dividend $1300$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)1300}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $1300$

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)1300}\\\end{array}$$

Since $13$ is less than $29$, use the next digit $0$ from dividend $1300$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)1300}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $1300$

$$\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)1300}\\\end{array}$$

Find closest multiple of $29$ to $130$. We see that $4 \times 29 = 116$ is the nearest. Now subtract $116$ from $130$ to get reminder $14$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{29)}004\phantom{6}\\29\overline{)1300}\\\phantom{29)}\underline{\phantom{}116\phantom{9}}\\\phantom{29)9}14\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1300$

$$\begin{array}{l}\phantom{29)}004\phantom{7}\\29\overline{)1300}\\\phantom{29)}\underline{\phantom{}116\phantom{9}}\\\phantom{29)9}140\\\end{array}$$

Find closest multiple of $29$ to $140$. We see that $4 \times 29 = 116$ is the nearest. Now subtract $116$ from $140$ to get reminder $24$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{29)}0044\phantom{8}\\29\overline{)1300}\\\phantom{29)}\underline{\phantom{}116\phantom{9}}\\\phantom{29)9}140\\\phantom{29)}\underline{\phantom{9}116\phantom{}}\\\phantom{29)99}24\\\end{array}$$

Since $24$ is less than $29$, stop the division. The reminder is $24$. The topmost line $0044$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $44$.

$$\text{Quotient: }44$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 13}{29} = 44\frac{24}{29} = 44.827586206896555$