How to solve (126)/(29)

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 (126)/(29) | Equatix

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Question

$$\frac{ 126 }{ 29 }$$

Evaluate

$\frac{126}{29}\approx 4.344827586$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $126$

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)126}\\\end{array}$$

Since $1$ is less than $29$, use the next digit $2$ from dividend $126$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)126}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $126$

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)126}\\\end{array}$$

Since $12$ is less than $29$, use the next digit $6$ from dividend $126$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)126}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $126$

$$\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)126}\\\end{array}$$

Find closest multiple of $29$ to $126$. We see that $4 \times 29 = 116$ is the nearest. Now subtract $116$ from $126$ to get reminder $10$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{29)}004\phantom{6}\\29\overline{)126}\\\phantom{29)}\underline{\phantom{}116\phantom{}}\\\phantom{29)9}10\\\end{array}$$

Since $10$ is less than $29$, stop the division. The reminder is $10$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 \cdot 3 ^ {2} \cdot 7}{29} = 4\frac{10}{29} = 4.344827586206897$