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 34/5480 | Equatix

Question

$$\frac { 5480 } { 34 }$$

Evaluate

$\frac{2740}{17}\approx 161.176470588$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5480$

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)5480}\\\end{array}$$

Since $5$ is less than $34$, use the next digit $4$ from dividend $5480$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)5480}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $5480$

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)5480}\\\end{array}$$

Find closest multiple of $34$ to $54$. We see that $1 \times 34 = 34$ is the nearest. Now subtract $34$ from $54$ to get reminder $20$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{34)}01\phantom{4}\\34\overline{)5480}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}20\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $5480$

$$\begin{array}{l}\phantom{34)}01\phantom{5}\\34\overline{)5480}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}208\\\end{array}$$

Find closest multiple of $34$ to $208$. We see that $6 \times 34 = 204$ is the nearest. Now subtract $204$ from $208$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{34)}016\phantom{6}\\34\overline{)5480}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}208\\\phantom{34)}\underline{\phantom{}204\phantom{9}}\\\phantom{34)99}4\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $5480$

$$\begin{array}{l}\phantom{34)}016\phantom{7}\\34\overline{)5480}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}208\\\phantom{34)}\underline{\phantom{}204\phantom{9}}\\\phantom{34)99}40\\\end{array}$$

Find closest multiple of $34$ to $40$. We see that $1 \times 34 = 34$ is the nearest. Now subtract $34$ from $40$ to get reminder $6$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{34)}0161\phantom{8}\\34\overline{)5480}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}208\\\phantom{34)}\underline{\phantom{}204\phantom{9}}\\\phantom{34)99}40\\\phantom{34)}\underline{\phantom{99}34\phantom{}}\\\phantom{34)999}6\\\end{array}$$

Since $6$ is less than $34$, stop the division. The reminder is $6$. The topmost line $0161$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $161$.

$$\text{Quotient: }161$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 \cdot 137}{17} = 161\frac{3}{17} = 161.1764705882353$

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Steps For Long Division Method

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