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 3987/43 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$3987\div43$$

Evaluate

$\frac{3987}{43}\approx 92.720930233$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3987$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)3987}\\\end{array}$$

Since $3$ is less than $43$, use the next digit $9$ from dividend $3987$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)3987}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $3987$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)3987}\\\end{array}$$

Since $39$ is less than $43$, use the next digit $8$ from dividend $3987$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}00\phantom{4}\\43\overline{)3987}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $3987$

$$\begin{array}{l}\phantom{43)}00\phantom{5}\\43\overline{)3987}\\\end{array}$$

Find closest multiple of $43$ to $398$. We see that $9 \times 43 = 387$ is the nearest. Now subtract $387$ from $398$ to get reminder $11$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{43)}009\phantom{6}\\43\overline{)3987}\\\phantom{43)}\underline{\phantom{}387\phantom{9}}\\\phantom{43)9}11\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $3987$

$$\begin{array}{l}\phantom{43)}009\phantom{7}\\43\overline{)3987}\\\phantom{43)}\underline{\phantom{}387\phantom{9}}\\\phantom{43)9}117\\\end{array}$$

Find closest multiple of $43$ to $117$. We see that $2 \times 43 = 86$ is the nearest. Now subtract $86$ from $117$ to get reminder $31$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{43)}0092\phantom{8}\\43\overline{)3987}\\\phantom{43)}\underline{\phantom{}387\phantom{9}}\\\phantom{43)9}117\\\phantom{43)}\underline{\phantom{99}86\phantom{}}\\\phantom{43)99}31\\\end{array}$$

Since $31$ is less than $43$, stop the division. The reminder is $31$. The topmost line $0092$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $92$.

$$\text{Quotient: }92$$ $$\text{Reminder: }31$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 443}{43} = 92\frac{31}{43} = 92.72093023255815$