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 6564/43 | Equatix

Question

$$6564/43$$

Evaluate

$\frac{6564}{43}\approx 152.651162791$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6564$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)6564}\\\end{array}$$

Since $6$ is less than $43$, use the next digit $5$ from dividend $6564$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)6564}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $6564$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)6564}\\\end{array}$$

Find closest multiple of $43$ to $65$. We see that $1 \times 43 = 43$ is the nearest. Now subtract $43$ from $65$ to get reminder $22$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{43)}01\phantom{4}\\43\overline{)6564}\\\phantom{43)}\underline{\phantom{}43\phantom{99}}\\\phantom{43)}22\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $6564$

$$\begin{array}{l}\phantom{43)}01\phantom{5}\\43\overline{)6564}\\\phantom{43)}\underline{\phantom{}43\phantom{99}}\\\phantom{43)}226\\\end{array}$$

Find closest multiple of $43$ to $226$. We see that $5 \times 43 = 215$ is the nearest. Now subtract $215$ from $226$ to get reminder $11$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{43)}015\phantom{6}\\43\overline{)6564}\\\phantom{43)}\underline{\phantom{}43\phantom{99}}\\\phantom{43)}226\\\phantom{43)}\underline{\phantom{}215\phantom{9}}\\\phantom{43)9}11\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $6564$

$$\begin{array}{l}\phantom{43)}015\phantom{7}\\43\overline{)6564}\\\phantom{43)}\underline{\phantom{}43\phantom{99}}\\\phantom{43)}226\\\phantom{43)}\underline{\phantom{}215\phantom{9}}\\\phantom{43)9}114\\\end{array}$$

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.

$$\begin{array}{l}\phantom{43)}0152\phantom{8}\\43\overline{)6564}\\\phantom{43)}\underline{\phantom{}43\phantom{99}}\\\phantom{43)}226\\\phantom{43)}\underline{\phantom{}215\phantom{9}}\\\phantom{43)9}114\\\phantom{43)}\underline{\phantom{99}86\phantom{}}\\\phantom{43)99}28\\\end{array}$$

Since $28$ is less than $43$, stop the division. The reminder is $28$. The topmost line $0152$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $152$.

$$\text{Quotient: }152$$ $$\text{Reminder: }28$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 \cdot 547}{43} = 152\frac{28}{43} = 152.65116279069767$

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Steps For Long Division Method

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