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 955/82 | Equatix

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Question

$$955/82$$

Evaluate

$\frac{955}{82}\approx 11.646341463$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $955$

$$\begin{array}{l}\phantom{82)}\phantom{1}\\82\overline{)955}\\\end{array}$$

Since $9$ is less than $82$, use the next digit $5$ from dividend $955$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{82)}0\phantom{2}\\82\overline{)955}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $955$

$$\begin{array}{l}\phantom{82)}0\phantom{3}\\82\overline{)955}\\\end{array}$$

Find closest multiple of $82$ to $95$. We see that $1 \times 82 = 82$ is the nearest. Now subtract $82$ from $95$ to get reminder $13$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{82)}01\phantom{4}\\82\overline{)955}\\\phantom{82)}\underline{\phantom{}82\phantom{9}}\\\phantom{82)}13\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $955$

$$\begin{array}{l}\phantom{82)}01\phantom{5}\\82\overline{)955}\\\phantom{82)}\underline{\phantom{}82\phantom{9}}\\\phantom{82)}135\\\end{array}$$

Find closest multiple of $82$ to $135$. We see that $1 \times 82 = 82$ is the nearest. Now subtract $82$ from $135$ to get reminder $53$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{82)}011\phantom{6}\\82\overline{)955}\\\phantom{82)}\underline{\phantom{}82\phantom{9}}\\\phantom{82)}135\\\phantom{82)}\underline{\phantom{9}82\phantom{}}\\\phantom{82)9}53\\\end{array}$$

Since $53$ is less than $82$, stop the division. The reminder is $53$. The topmost line $011$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $11$.

$$\text{Quotient: }11$$ $$\text{Reminder: }53$$

Show Solution

Factor

$\frac{5 \cdot 191}{2 \cdot 41} = 11\frac{53}{82} = 11.646341463414634$