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 103/32 | Equatix

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Question

$$103\div32$$

Evaluate

$\frac{103}{32}=3.21875$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $103$

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)103}\\\end{array}$$

Since $1$ is less than $32$, use the next digit $0$ from dividend $103$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)103}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $103$

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)103}\\\end{array}$$

Since $10$ is less than $32$, use the next digit $3$ from dividend $103$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)103}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $103$

$$\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)103}\\\end{array}$$

Find closest multiple of $32$ to $103$. We see that $3 \times 32 = 96$ is the nearest. Now subtract $96$ from $103$ to get reminder $7$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{32)}003\phantom{6}\\32\overline{)103}\\\phantom{32)}\underline{\phantom{9}96\phantom{}}\\\phantom{32)99}7\\\end{array}$$

Since $7$ is less than $32$, stop the division. The reminder is $7$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{103}{2 ^ {5}} = 3\frac{7}{32} = 3.21875$