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 13 3936 | Equatix

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Question

$$\frac { 3936 } { 13 }$$

Evaluate

$\frac{3936}{13}\approx 302.769230769$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3936$

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)3936}\\\end{array}$$

Since $3$ is less than $13$, use the next digit $9$ from dividend $3936$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)3936}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $3936$

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)3936}\\\end{array}$$

Find closest multiple of $13$ to $39$. We see that $3 \times 13 = 39$ is the nearest. Now subtract $39$ from $39$ to get reminder $0$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{13)}03\phantom{4}\\13\overline{)3936}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)99}0\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $3936$

$$\begin{array}{l}\phantom{13)}03\phantom{5}\\13\overline{)3936}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)99}3\\\end{array}$$

Since $3$ is less than $13$, use the next digit $6$ from dividend $3936$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{13)}030\phantom{6}\\13\overline{)3936}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)99}3\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $3936$

$$\begin{array}{l}\phantom{13)}030\phantom{7}\\13\overline{)3936}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)99}36\\\end{array}$$

Find closest multiple of $13$ to $36$. We see that $2 \times 13 = 26$ is the nearest. Now subtract $26$ from $36$ to get reminder $10$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{13)}0302\phantom{8}\\13\overline{)3936}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)99}36\\\phantom{13)}\underline{\phantom{99}26\phantom{}}\\\phantom{13)99}10\\\end{array}$$

Since $10$ is less than $13$, stop the division. The reminder is $10$. The topmost line $0302$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $302$.

$$\text{Quotient: }302$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 ^ {5} \cdot 3 \cdot 41}{13} = 302\frac{10}{13} = 302.7692307692308$