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 405/180 | Equatix

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Question

$$\frac{405}{180}$$

Evaluate

$\frac{9}{4}=2.25$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $405$

$$\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)405}\\\end{array}$$

Since $4$ is less than $180$, use the next digit $0$ from dividend $405$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)405}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $405$

$$\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)405}\\\end{array}$$

Since $40$ is less than $180$, use the next digit $5$ from dividend $405$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)405}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $405$

$$\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)405}\\\end{array}$$

Find closest multiple of $180$ to $405$. We see that $2 \times 180 = 360$ is the nearest. Now subtract $360$ from $405$ to get reminder $45$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{180)}002\phantom{6}\\180\overline{)405}\\\phantom{180)}\underline{\phantom{}360\phantom{}}\\\phantom{180)9}45\\\end{array}$$

Since $45$ is less than $180$, stop the division. The reminder is $45$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }45$$

Show Solution

Factor

$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$