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 3674/32 | Equatix

Question

$$3674/32$$

Evaluate

$\frac{1837}{16}=114.8125$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3674$

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)3674}\\\end{array}$$

Since $3$ is less than $32$, use the next digit $6$ from dividend $3674$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)3674}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $3674$

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)3674}\\\end{array}$$

Find closest multiple of $32$ to $36$. We see that $1 \times 32 = 32$ is the nearest. Now subtract $32$ from $36$ to get reminder $4$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)3674}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}4\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $3674$

$$\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)3674}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}47\\\end{array}$$

Find closest multiple of $32$ to $47$. We see that $1 \times 32 = 32$ is the nearest. Now subtract $32$ from $47$ to get reminder $15$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{32)}011\phantom{6}\\32\overline{)3674}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}47\\\phantom{32)}\underline{\phantom{9}32\phantom{9}}\\\phantom{32)9}15\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $3674$

$$\begin{array}{l}\phantom{32)}011\phantom{7}\\32\overline{)3674}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}47\\\phantom{32)}\underline{\phantom{9}32\phantom{9}}\\\phantom{32)9}154\\\end{array}$$

Find closest multiple of $32$ to $154$. We see that $4 \times 32 = 128$ is the nearest. Now subtract $128$ from $154$ to get reminder $26$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{32)}0114\phantom{8}\\32\overline{)3674}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}47\\\phantom{32)}\underline{\phantom{9}32\phantom{9}}\\\phantom{32)9}154\\\phantom{32)}\underline{\phantom{9}128\phantom{}}\\\phantom{32)99}26\\\end{array}$$

Since $26$ is less than $32$, stop the division. The reminder is $26$. The topmost line $0114$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $114$.

$$\text{Quotient: }114$$ $$\text{Reminder: }26$$

Show Solution

Factor

$\frac{11 \cdot 167}{2 ^ {4}} = 114\frac{13}{16} = 114.8125$

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Steps For Long Division Method

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