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 3364/29 | Equatix

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Question

$$3364/29$$

Evaluate

$116$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3364$

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)3364}\\\end{array}$$

Since $3$ is less than $29$, use the next digit $3$ from dividend $3364$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)3364}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $3364$

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)3364}\\\end{array}$$

Find closest multiple of $29$ to $33$. We see that $1 \times 29 = 29$ is the nearest. Now subtract $29$ from $33$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{29)}01\phantom{4}\\29\overline{)3364}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}4\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $3364$

$$\begin{array}{l}\phantom{29)}01\phantom{5}\\29\overline{)3364}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}46\\\end{array}$$

Find closest multiple of $29$ to $46$. We see that $1 \times 29 = 29$ is the nearest. Now subtract $29$ from $46$ to get reminder $17$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{29)}011\phantom{6}\\29\overline{)3364}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}46\\\phantom{29)}\underline{\phantom{9}29\phantom{9}}\\\phantom{29)9}17\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $3364$

$$\begin{array}{l}\phantom{29)}011\phantom{7}\\29\overline{)3364}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}46\\\phantom{29)}\underline{\phantom{9}29\phantom{9}}\\\phantom{29)9}174\\\end{array}$$

Find closest multiple of $29$ to $174$. We see that $6 \times 29 = 174$ is the nearest. Now subtract $174$ from $174$ to get reminder $0$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{29)}0116\phantom{8}\\29\overline{)3364}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}46\\\phantom{29)}\underline{\phantom{9}29\phantom{9}}\\\phantom{29)9}174\\\phantom{29)}\underline{\phantom{9}174\phantom{}}\\\phantom{29)9999}0\\\end{array}$$

Since $0$ is less than $29$, stop the division. The reminder is $0$. The topmost line $0116$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $116$.

$$\text{Quotient: }116$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{2}\times 29$