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 912/43 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$912/43$$

Evaluate

$\frac{912}{43}\approx 21.209302326$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $912$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)912}\\\end{array}$$

Since $9$ is less than $43$, use the next digit $1$ from dividend $912$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)912}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $912$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)912}\\\end{array}$$

Find closest multiple of $43$ to $91$. We see that $2 \times 43 = 86$ is the nearest. Now subtract $86$ from $91$ to get reminder $5$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{43)}02\phantom{4}\\43\overline{)912}\\\phantom{43)}\underline{\phantom{}86\phantom{9}}\\\phantom{43)9}5\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $912$

$$\begin{array}{l}\phantom{43)}02\phantom{5}\\43\overline{)912}\\\phantom{43)}\underline{\phantom{}86\phantom{9}}\\\phantom{43)9}52\\\end{array}$$

Find closest multiple of $43$ to $52$. We see that $1 \times 43 = 43$ is the nearest. Now subtract $43$ from $52$ to get reminder $9$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{43)}021\phantom{6}\\43\overline{)912}\\\phantom{43)}\underline{\phantom{}86\phantom{9}}\\\phantom{43)9}52\\\phantom{43)}\underline{\phantom{9}43\phantom{}}\\\phantom{43)99}9\\\end{array}$$

Since $9$ is less than $43$, stop the division. The reminder is $9$. The topmost line $021$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $21$.

$$\text{Quotient: }21$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 3 \cdot 19}{43} = 21\frac{9}{43} = 21.209302325581394$