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 358/132 | Equatix

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Question

$$358/132$$

Evaluate

$\frac{179}{66}\approx 2.712121212$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $358$

$$\begin{array}{l}\phantom{132)}\phantom{1}\\132\overline{)358}\\\end{array}$$

Since $3$ is less than $132$, use the next digit $5$ from dividend $358$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{132)}0\phantom{2}\\132\overline{)358}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $358$

$$\begin{array}{l}\phantom{132)}0\phantom{3}\\132\overline{)358}\\\end{array}$$

Since $35$ is less than $132$, use the next digit $8$ from dividend $358$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{132)}00\phantom{4}\\132\overline{)358}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $358$

$$\begin{array}{l}\phantom{132)}00\phantom{5}\\132\overline{)358}\\\end{array}$$

Find closest multiple of $132$ to $358$. We see that $2 \times 132 = 264$ is the nearest. Now subtract $264$ from $358$ to get reminder $94$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{132)}002\phantom{6}\\132\overline{)358}\\\phantom{132)}\underline{\phantom{}264\phantom{}}\\\phantom{132)9}94\\\end{array}$$

Since $94$ is less than $132$, stop the division. The reminder is $94$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }94$$

Show Solution

Factor

$\frac{179}{2 \cdot 3 \cdot 11} = 2\frac{47}{66} = 2.712121212121212$