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 7895/29 | Equatix

Question

$$7895/29$$

Evaluate

$\frac{7895}{29}\approx 272.24137931$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7895$

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)7895}\\\end{array}$$

Since $7$ is less than $29$, use the next digit $8$ from dividend $7895$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)7895}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $7895$

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)7895}\\\end{array}$$

Find closest multiple of $29$ to $78$. We see that $2 \times 29 = 58$ is the nearest. Now subtract $58$ from $78$ to get reminder $20$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{29)}02\phantom{4}\\29\overline{)7895}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}20\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $7895$

$$\begin{array}{l}\phantom{29)}02\phantom{5}\\29\overline{)7895}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}209\\\end{array}$$

Find closest multiple of $29$ to $209$. We see that $7 \times 29 = 203$ is the nearest. Now subtract $203$ from $209$ to get reminder $6$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{29)}027\phantom{6}\\29\overline{)7895}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}209\\\phantom{29)}\underline{\phantom{}203\phantom{9}}\\\phantom{29)99}6\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $7895$

$$\begin{array}{l}\phantom{29)}027\phantom{7}\\29\overline{)7895}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}209\\\phantom{29)}\underline{\phantom{}203\phantom{9}}\\\phantom{29)99}65\\\end{array}$$

Find closest multiple of $29$ to $65$. We see that $2 \times 29 = 58$ is the nearest. Now subtract $58$ from $65$ to get reminder $7$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{29)}0272\phantom{8}\\29\overline{)7895}\\\phantom{29)}\underline{\phantom{}58\phantom{99}}\\\phantom{29)}209\\\phantom{29)}\underline{\phantom{}203\phantom{9}}\\\phantom{29)99}65\\\phantom{29)}\underline{\phantom{99}58\phantom{}}\\\phantom{29)999}7\\\end{array}$$

Since $7$ is less than $29$, stop the division. The reminder is $7$. The topmost line $0272$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $272$.

$$\text{Quotient: }272$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{5 \cdot 1579}{29} = 272\frac{7}{29} = 272.2413793103448$

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Steps For Long Division Method

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