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 189/45 | Equatix

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Question

$$189/45$$

Evaluate

$\frac{21}{5}=4.2$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $189$

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)189}\\\end{array}$$

Since $1$ is less than $45$, use the next digit $8$ from dividend $189$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)189}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $189$

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)189}\\\end{array}$$

Since $18$ is less than $45$, use the next digit $9$ from dividend $189$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)189}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $189$

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)189}\\\end{array}$$

Find closest multiple of $45$ to $189$. We see that $4 \times 45 = 180$ is the nearest. Now subtract $180$ from $189$ to get reminder $9$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{45)}004\phantom{6}\\45\overline{)189}\\\phantom{45)}\underline{\phantom{}180\phantom{}}\\\phantom{45)99}9\\\end{array}$$

Since $9$ is less than $45$, stop the division. The reminder is $9$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2$