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 854/43 | Equatix

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Question

$$854/43$$

Evaluate

$\frac{854}{43}\approx 19.860465116$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $854$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)854}\\\end{array}$$

Since $8$ is less than $43$, use the next digit $5$ from dividend $854$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)854}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $854$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)854}\\\end{array}$$

Find closest multiple of $43$ to $85$. We see that $1 \times 43 = 43$ is the nearest. Now subtract $43$ from $85$ to get reminder $42$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{43)}01\phantom{4}\\43\overline{)854}\\\phantom{43)}\underline{\phantom{}43\phantom{9}}\\\phantom{43)}42\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $854$

$$\begin{array}{l}\phantom{43)}01\phantom{5}\\43\overline{)854}\\\phantom{43)}\underline{\phantom{}43\phantom{9}}\\\phantom{43)}424\\\end{array}$$

Find closest multiple of $43$ to $424$. We see that $9 \times 43 = 387$ is the nearest. Now subtract $387$ from $424$ to get reminder $37$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{43)}019\phantom{6}\\43\overline{)854}\\\phantom{43)}\underline{\phantom{}43\phantom{9}}\\\phantom{43)}424\\\phantom{43)}\underline{\phantom{}387\phantom{}}\\\phantom{43)9}37\\\end{array}$$

Since $37$ is less than $43$, stop the division. The reminder is $37$. The topmost line $019$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $19$.

$$\text{Quotient: }19$$ $$\text{Reminder: }37$$

Show Solution

Factor

$\frac{2 \cdot 7 \cdot 61}{43} = 19\frac{37}{43} = 19.86046511627907$