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 2290/16 | Equatix

Question

$$2290\div16$$

Evaluate

$\frac{1145}{8}=143.125$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2290$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)2290}\\\end{array}$$

Since $2$ is less than $16$, use the next digit $2$ from dividend $2290$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)2290}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $2290$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)2290}\\\end{array}$$

Find closest multiple of $16$ to $22$. We see that $1 \times 16 = 16$ is the nearest. Now subtract $16$ from $22$ to get reminder $6$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)2290}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}6\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $2290$

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)2290}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}69\\\end{array}$$

Find closest multiple of $16$ to $69$. We see that $4 \times 16 = 64$ is the nearest. Now subtract $64$ from $69$ to get reminder $5$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{16)}014\phantom{6}\\16\overline{)2290}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}69\\\phantom{16)}\underline{\phantom{9}64\phantom{9}}\\\phantom{16)99}5\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $2290$

$$\begin{array}{l}\phantom{16)}014\phantom{7}\\16\overline{)2290}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}69\\\phantom{16)}\underline{\phantom{9}64\phantom{9}}\\\phantom{16)99}50\\\end{array}$$

Find closest multiple of $16$ to $50$. We see that $3 \times 16 = 48$ is the nearest. Now subtract $48$ from $50$ to get reminder $2$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{16)}0143\phantom{8}\\16\overline{)2290}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}69\\\phantom{16)}\underline{\phantom{9}64\phantom{9}}\\\phantom{16)99}50\\\phantom{16)}\underline{\phantom{99}48\phantom{}}\\\phantom{16)999}2\\\end{array}$$

Since $2$ is less than $16$, stop the division. The reminder is $2$. The topmost line $0143$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $143$.

$$\text{Quotient: }143$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{5 \cdot 229}{2 ^ {3}} = 143\frac{1}{8} = 143.125$

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Steps For Long Division Method

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