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 140/40 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$140/40$$

Evaluate

$\frac{7}{2}=3.5$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $140$

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)140}\\\end{array}$$

Since $1$ is less than $40$, use the next digit $4$ from dividend $140$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)140}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $140$

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)140}\\\end{array}$$

Since $14$ is less than $40$, use the next digit $0$ from dividend $140$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)140}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $140$

$$\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)140}\\\end{array}$$

Find closest multiple of $40$ to $140$. We see that $3 \times 40 = 120$ is the nearest. Now subtract $120$ from $140$ to get reminder $20$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{40)}003\phantom{6}\\40\overline{)140}\\\phantom{40)}\underline{\phantom{}120\phantom{}}\\\phantom{40)9}20\\\end{array}$$

Since $20$ is less than $40$, stop the division. The reminder is $20$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }20$$

Show Solution

Factor

$\frac{7}{2} = 3\frac{1}{2} = 3.5$