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 8967( | Equatix

Question

$$8967($$

Evaluate

$\frac{8967}{17}\approx 527.470588235$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8967$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)8967}\\\end{array}$$

Since $8$ is less than $17$, use the next digit $9$ from dividend $8967$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)8967}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $8967$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)8967}\\\end{array}$$

Find closest multiple of $17$ to $89$. We see that $5 \times 17 = 85$ is the nearest. Now subtract $85$ from $89$ to get reminder $4$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{17)}05\phantom{4}\\17\overline{)8967}\\\phantom{17)}\underline{\phantom{}85\phantom{99}}\\\phantom{17)9}4\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $8967$

$$\begin{array}{l}\phantom{17)}05\phantom{5}\\17\overline{)8967}\\\phantom{17)}\underline{\phantom{}85\phantom{99}}\\\phantom{17)9}46\\\end{array}$$

Find closest multiple of $17$ to $46$. We see that $2 \times 17 = 34$ is the nearest. Now subtract $34$ from $46$ to get reminder $12$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{17)}052\phantom{6}\\17\overline{)8967}\\\phantom{17)}\underline{\phantom{}85\phantom{99}}\\\phantom{17)9}46\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)9}12\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $8967$

$$\begin{array}{l}\phantom{17)}052\phantom{7}\\17\overline{)8967}\\\phantom{17)}\underline{\phantom{}85\phantom{99}}\\\phantom{17)9}46\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)9}127\\\end{array}$$

Find closest multiple of $17$ to $127$. We see that $7 \times 17 = 119$ is the nearest. Now subtract $119$ from $127$ to get reminder $8$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{17)}0527\phantom{8}\\17\overline{)8967}\\\phantom{17)}\underline{\phantom{}85\phantom{99}}\\\phantom{17)9}46\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)9}127\\\phantom{17)}\underline{\phantom{9}119\phantom{}}\\\phantom{17)999}8\\\end{array}$$

Since $8$ is less than $17$, stop the division. The reminder is $8$. The topmost line $0527$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $527$.

$$\text{Quotient: }527$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{3 \cdot 7 ^ {2} \cdot 61}{17} = 527\frac{8}{17} = 527.4705882352941$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor