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 1834/43 | Equatix

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Question

$$1834/43$$

Evaluate

$\frac{1834}{43}\approx 42.651162791$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1834$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)1834}\\\end{array}$$

Since $1$ is less than $43$, use the next digit $8$ from dividend $1834$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)1834}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $1834$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)1834}\\\end{array}$$

Since $18$ is less than $43$, use the next digit $3$ from dividend $1834$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}00\phantom{4}\\43\overline{)1834}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $1834$

$$\begin{array}{l}\phantom{43)}00\phantom{5}\\43\overline{)1834}\\\end{array}$$

Find closest multiple of $43$ to $183$. We see that $4 \times 43 = 172$ is the nearest. Now subtract $172$ from $183$ to get reminder $11$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{43)}004\phantom{6}\\43\overline{)1834}\\\phantom{43)}\underline{\phantom{}172\phantom{9}}\\\phantom{43)9}11\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $1834$

$$\begin{array}{l}\phantom{43)}004\phantom{7}\\43\overline{)1834}\\\phantom{43)}\underline{\phantom{}172\phantom{9}}\\\phantom{43)9}114\\\end{array}$$

Find closest multiple of $43$ to $114$. We see that $2 \times 43 = 86$ is the nearest. Now subtract $86$ from $114$ to get reminder $28$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{43)}0042\phantom{8}\\43\overline{)1834}\\\phantom{43)}\underline{\phantom{}172\phantom{9}}\\\phantom{43)9}114\\\phantom{43)}\underline{\phantom{99}86\phantom{}}\\\phantom{43)99}28\\\end{array}$$

Since $28$ is less than $43$, stop the division. The reminder is $28$. The topmost line $0042$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $42$.

$$\text{Quotient: }42$$ $$\text{Reminder: }28$$

Show Solution

Factor

$\frac{2 \cdot 7 \cdot 131}{43} = 42\frac{28}{43} = 42.651162790697676$