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 3683/36 | Equatix

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Question

$$3683\div36$$

Evaluate

$\frac{3683}{36}\approx 102.305555556$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3683$

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)3683}\\\end{array}$$

Since $3$ is less than $36$, use the next digit $6$ from dividend $3683$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)3683}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $3683$

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)3683}\\\end{array}$$

Find closest multiple of $36$ to $36$. We see that $1 \times 36 = 36$ is the nearest. Now subtract $36$ from $36$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)3683}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)99}0\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $3683$

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)3683}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)99}8\\\end{array}$$

Since $8$ is less than $36$, use the next digit $3$ from dividend $3683$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{36)}010\phantom{6}\\36\overline{)3683}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)99}8\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $3683$

$$\begin{array}{l}\phantom{36)}010\phantom{7}\\36\overline{)3683}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)99}83\\\end{array}$$

Find closest multiple of $36$ to $83$. We see that $2 \times 36 = 72$ is the nearest. Now subtract $72$ from $83$ to get reminder $11$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{36)}0102\phantom{8}\\36\overline{)3683}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)99}83\\\phantom{36)}\underline{\phantom{99}72\phantom{}}\\\phantom{36)99}11\\\end{array}$$

Since $11$ is less than $36$, stop the division. The reminder is $11$. The topmost line $0102$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $102$.

$$\text{Quotient: }102$$ $$\text{Reminder: }11$$

Show Solution

Factor

$\frac{29 \cdot 127}{2 ^ {2} \cdot 3 ^ {2}} = 102\frac{11}{36} = 102.30555555555556$