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 1700/29 | Equatix

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Question

$$1700/29$$

Evaluate

$\frac{1700}{29}\approx 58.620689655$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1700$

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)1700}\\\end{array}$$

Since $1$ is less than $29$, use the next digit $7$ from dividend $1700$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)1700}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $1700$

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)1700}\\\end{array}$$

Since $17$ is less than $29$, use the next digit $0$ from dividend $1700$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)1700}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $1700$

$$\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)1700}\\\end{array}$$

Find closest multiple of $29$ to $170$. We see that $5 \times 29 = 145$ is the nearest. Now subtract $145$ from $170$ to get reminder $25$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{29)}005\phantom{6}\\29\overline{)1700}\\\phantom{29)}\underline{\phantom{}145\phantom{9}}\\\phantom{29)9}25\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1700$

$$\begin{array}{l}\phantom{29)}005\phantom{7}\\29\overline{)1700}\\\phantom{29)}\underline{\phantom{}145\phantom{9}}\\\phantom{29)9}250\\\end{array}$$

Find closest multiple of $29$ to $250$. We see that $8 \times 29 = 232$ is the nearest. Now subtract $232$ from $250$ to get reminder $18$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{29)}0058\phantom{8}\\29\overline{)1700}\\\phantom{29)}\underline{\phantom{}145\phantom{9}}\\\phantom{29)9}250\\\phantom{29)}\underline{\phantom{9}232\phantom{}}\\\phantom{29)99}18\\\end{array}$$

Since $18$ is less than $29$, stop the division. The reminder is $18$. The topmost line $0058$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $58$.

$$\text{Quotient: }58$$ $$\text{Reminder: }18$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 17}{29} = 58\frac{18}{29} = 58.62068965517241$