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 175/45 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$175/45$$

Evaluate

$\frac{35}{9}\approx 3.888888889$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $175$

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)175}\\\end{array}$$

Since $1$ is less than $45$, use the next digit $7$ from dividend $175$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)175}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $175$

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)175}\\\end{array}$$

Since $17$ is less than $45$, use the next digit $5$ from dividend $175$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)175}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $175$

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)175}\\\end{array}$$

Find closest multiple of $45$ to $175$. We see that $3 \times 45 = 135$ is the nearest. Now subtract $135$ from $175$ to get reminder $40$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{45)}003\phantom{6}\\45\overline{)175}\\\phantom{45)}\underline{\phantom{}135\phantom{}}\\\phantom{45)9}40\\\end{array}$$

Since $40$ is less than $45$, stop the division. The reminder is $40$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }40$$

Show Solution

Factor

$\frac{5 \cdot 7}{3 ^ {2}} = 3\frac{8}{9} = 3.888888888888889$