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 752/126 | Equatix

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Question

$$752/126$$

Evaluate

$\frac{376}{63}\approx 5.968253968$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $752$

$$\begin{array}{l}\phantom{126)}\phantom{1}\\126\overline{)752}\\\end{array}$$

Since $7$ is less than $126$, use the next digit $5$ from dividend $752$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{126)}0\phantom{2}\\126\overline{)752}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $752$

$$\begin{array}{l}\phantom{126)}0\phantom{3}\\126\overline{)752}\\\end{array}$$

Since $75$ is less than $126$, use the next digit $2$ from dividend $752$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{126)}00\phantom{4}\\126\overline{)752}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $752$

$$\begin{array}{l}\phantom{126)}00\phantom{5}\\126\overline{)752}\\\end{array}$$

Find closest multiple of $126$ to $752$. We see that $5 \times 126 = 630$ is the nearest. Now subtract $630$ from $752$ to get reminder $122$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{126)}005\phantom{6}\\126\overline{)752}\\\phantom{126)}\underline{\phantom{}630\phantom{}}\\\phantom{126)}122\\\end{array}$$

Since $122$ is less than $126$, stop the division. The reminder is $122$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }122$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 47}{3 ^ {2} \cdot 7} = 5\frac{61}{63} = 5.968253968253968$