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 421/50 | Equatix

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Question

$$421/50$$

Evaluate

$\frac{421}{50}=8.42$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $421$

$$\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)421}\\\end{array}$$

Since $4$ is less than $50$, use the next digit $2$ from dividend $421$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)421}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $421$

$$\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)421}\\\end{array}$$

Since $42$ is less than $50$, use the next digit $1$ from dividend $421$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)421}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $421$

$$\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)421}\\\end{array}$$

Find closest multiple of $50$ to $421$. We see that $8 \times 50 = 400$ is the nearest. Now subtract $400$ from $421$ to get reminder $21$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{50)}008\phantom{6}\\50\overline{)421}\\\phantom{50)}\underline{\phantom{}400\phantom{}}\\\phantom{50)9}21\\\end{array}$$

Since $21$ is less than $50$, stop the division. The reminder is $21$. The topmost line $008$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $8$.

$$\text{Quotient: }8$$ $$\text{Reminder: }21$$

Show Solution

Factor

$\frac{421}{2 \cdot 5 ^ {2}} = 8\frac{21}{50} = 8.42$