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 109/23 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$109/23$$

Evaluate

$\frac{109}{23}\approx 4.739130435$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $109$

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)109}\\\end{array}$$

Since $1$ is less than $23$, use the next digit $0$ from dividend $109$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)109}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $109$

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)109}\\\end{array}$$

Since $10$ is less than $23$, use the next digit $9$ from dividend $109$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{23)}00\phantom{4}\\23\overline{)109}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $109$

$$\begin{array}{l}\phantom{23)}00\phantom{5}\\23\overline{)109}\\\end{array}$$

Find closest multiple of $23$ to $109$. We see that $4 \times 23 = 92$ is the nearest. Now subtract $92$ from $109$ to get reminder $17$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{23)}004\phantom{6}\\23\overline{)109}\\\phantom{23)}\underline{\phantom{9}92\phantom{}}\\\phantom{23)9}17\\\end{array}$$

Since $17$ is less than $23$, stop the division. The reminder is $17$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }17$$

Show Solution

Factor

$\frac{109}{23} = 4\frac{17}{23} = 4.739130434782608$