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 525/112 | Equatix

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Question

$$525/112$$

Evaluate

$\frac{75}{16}=4.6875$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $525$

$$\begin{array}{l}\phantom{112)}\phantom{1}\\112\overline{)525}\\\end{array}$$

Since $5$ is less than $112$, use the next digit $2$ from dividend $525$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{112)}0\phantom{2}\\112\overline{)525}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $525$

$$\begin{array}{l}\phantom{112)}0\phantom{3}\\112\overline{)525}\\\end{array}$$

Since $52$ is less than $112$, use the next digit $5$ from dividend $525$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{112)}00\phantom{4}\\112\overline{)525}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $525$

$$\begin{array}{l}\phantom{112)}00\phantom{5}\\112\overline{)525}\\\end{array}$$

Find closest multiple of $112$ to $525$. We see that $4 \times 112 = 448$ is the nearest. Now subtract $448$ from $525$ to get reminder $77$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{112)}004\phantom{6}\\112\overline{)525}\\\phantom{112)}\underline{\phantom{}448\phantom{}}\\\phantom{112)9}77\\\end{array}$$

Since $77$ is less than $112$, stop the division. The reminder is $77$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }77$$

Show Solution

Factor

$\frac{3 \cdot 5 ^ {2}}{2 ^ {4}} = 4\frac{11}{16} = 4.6875$