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 945 700 | Equatix

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Question

$$945 : 700$$

Evaluate

$\frac{27}{20}=1.35$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $945$

$$\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)945}\\\end{array}$$

Since $9$ is less than $700$, use the next digit $4$ from dividend $945$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)945}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $945$

$$\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)945}\\\end{array}$$

Since $94$ is less than $700$, use the next digit $5$ from dividend $945$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)945}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $945$

$$\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)945}\\\end{array}$$

Find closest multiple of $700$ to $945$. We see that $1 \times 700 = 700$ is the nearest. Now subtract $700$ from $945$ to get reminder $245$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{700)}001\phantom{6}\\700\overline{)945}\\\phantom{700)}\underline{\phantom{}700\phantom{}}\\\phantom{700)}245\\\end{array}$$

Since $245$ is less than $700$, stop the division. The reminder is $245$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }245$$

Show Solution

Factor

$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$