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 1024/26 | Equatix

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Question

$$1024/26$$

Evaluate

$\frac{512}{13}\approx 39.384615385$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1024$

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)1024}\\\end{array}$$

Since $1$ is less than $26$, use the next digit $0$ from dividend $1024$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)1024}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $1024$

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)1024}\\\end{array}$$

Since $10$ is less than $26$, use the next digit $2$ from dividend $1024$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)1024}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $1024$

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)1024}\\\end{array}$$

Find closest multiple of $26$ to $102$. We see that $3 \times 26 = 78$ is the nearest. Now subtract $78$ from $102$ to get reminder $24$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{26)}003\phantom{6}\\26\overline{)1024}\\\phantom{26)}\underline{\phantom{9}78\phantom{9}}\\\phantom{26)9}24\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $1024$

$$\begin{array}{l}\phantom{26)}003\phantom{7}\\26\overline{)1024}\\\phantom{26)}\underline{\phantom{9}78\phantom{9}}\\\phantom{26)9}244\\\end{array}$$

Find closest multiple of $26$ to $244$. We see that $9 \times 26 = 234$ is the nearest. Now subtract $234$ from $244$ to get reminder $10$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{26)}0039\phantom{8}\\26\overline{)1024}\\\phantom{26)}\underline{\phantom{9}78\phantom{9}}\\\phantom{26)9}244\\\phantom{26)}\underline{\phantom{9}234\phantom{}}\\\phantom{26)99}10\\\end{array}$$

Since $10$ is less than $26$, stop the division. The reminder is $10$. The topmost line $0039$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $39$.

$$\text{Quotient: }39$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{2 ^ {9}}{13} = 39\frac{5}{13} = 39.38461538461539$