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 331/43 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$331/43$$

Evaluate

$\frac{331}{43}\approx 7.697674419$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $331$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)331}\\\end{array}$$

Since $3$ is less than $43$, use the next digit $3$ from dividend $331$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)331}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $331$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)331}\\\end{array}$$

Since $33$ is less than $43$, use the next digit $1$ from dividend $331$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}00\phantom{4}\\43\overline{)331}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $331$

$$\begin{array}{l}\phantom{43)}00\phantom{5}\\43\overline{)331}\\\end{array}$$

Find closest multiple of $43$ to $331$. We see that $7 \times 43 = 301$ is the nearest. Now subtract $301$ from $331$ to get reminder $30$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{43)}007\phantom{6}\\43\overline{)331}\\\phantom{43)}\underline{\phantom{}301\phantom{}}\\\phantom{43)9}30\\\end{array}$$

Since $30$ is less than $43$, stop the division. The reminder is $30$. The topmost line $007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }30$$

Show Solution

Factor

$\frac{331}{43} = 7\frac{30}{43} = 7.6976744186046515$