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 7745 71 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$7745 \div 71$$

Evaluate

$\frac{7745}{71}\approx 109.084507042$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7745$

$$\begin{array}{l}\phantom{71)}\phantom{1}\\71\overline{)7745}\\\end{array}$$

Since $7$ is less than $71$, use the next digit $7$ from dividend $7745$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{71)}0\phantom{2}\\71\overline{)7745}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $7745$

$$\begin{array}{l}\phantom{71)}0\phantom{3}\\71\overline{)7745}\\\end{array}$$

Find closest multiple of $71$ to $77$. We see that $1 \times 71 = 71$ is the nearest. Now subtract $71$ from $77$ to get reminder $6$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{71)}01\phantom{4}\\71\overline{)7745}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}6\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $7745$

$$\begin{array}{l}\phantom{71)}01\phantom{5}\\71\overline{)7745}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}64\\\end{array}$$

Since $64$ is less than $71$, use the next digit $5$ from dividend $7745$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{71)}010\phantom{6}\\71\overline{)7745}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}64\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $7745$

$$\begin{array}{l}\phantom{71)}010\phantom{7}\\71\overline{)7745}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}645\\\end{array}$$

Find closest multiple of $71$ to $645$. We see that $9 \times 71 = 639$ is the nearest. Now subtract $639$ from $645$ to get reminder $6$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{71)}0109\phantom{8}\\71\overline{)7745}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}645\\\phantom{71)}\underline{\phantom{9}639\phantom{}}\\\phantom{71)999}6\\\end{array}$$

Since $6$ is less than $71$, stop the division. The reminder is $6$. The topmost line $0109$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $109$.

$$\text{Quotient: }109$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{5 \cdot 1549}{71} = 109\frac{6}{71} = 109.08450704225352$