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 1623/15 | Equatix

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Question

$$\frac{1623}{15}$$

Evaluate

$\frac{541}{5}=108.2$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1623$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)1623}\\\end{array}$$

Since $1$ is less than $15$, use the next digit $6$ from dividend $1623$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1623}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $1623$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1623}\\\end{array}$$

Find closest multiple of $15$ to $16$. We see that $1 \times 15 = 15$ is the nearest. Now subtract $15$ from $16$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)1623}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}1\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $1623$

$$\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)1623}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}12\\\end{array}$$

Since $12$ is less than $15$, use the next digit $3$ from dividend $1623$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}010\phantom{6}\\15\overline{)1623}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}12\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $1623$

$$\begin{array}{l}\phantom{15)}010\phantom{7}\\15\overline{)1623}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}123\\\end{array}$$

Find closest multiple of $15$ to $123$. We see that $8 \times 15 = 120$ is the nearest. Now subtract $120$ from $123$ to get reminder $3$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{15)}0108\phantom{8}\\15\overline{)1623}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}123\\\phantom{15)}\underline{\phantom{9}120\phantom{}}\\\phantom{15)999}3\\\end{array}$$

Since $3$ is less than $15$, stop the division. The reminder is $3$. The topmost line $0108$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $108$.

$$\text{Quotient: }108$$ $$\text{Reminder: }3$$

Show Solution

Factor

$\frac{541}{5} = 108\frac{1}{5} = 108.2$