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 5462/24 | Equatix

Question

$$5462/24$$

Evaluate

$\frac{2731}{12}\approx 227.583333333$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $5462$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)5462}\\\end{array}$$

Since $5$ is less than $24$, use the next digit $4$ from dividend $5462$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)5462}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $5462$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)5462}\\\end{array}$$

Find closest multiple of $24$ to $54$. We see that $2 \times 24 = 48$ is the nearest. Now subtract $48$ from $54$ to get reminder $6$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)5462}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}6\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $5462$

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)5462}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}66\\\end{array}$$

Find closest multiple of $24$ to $66$. We see that $2 \times 24 = 48$ is the nearest. Now subtract $48$ from $66$ to get reminder $18$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{24)}022\phantom{6}\\24\overline{)5462}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}66\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}18\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $5462$

$$\begin{array}{l}\phantom{24)}022\phantom{7}\\24\overline{)5462}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}66\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}182\\\end{array}$$

Find closest multiple of $24$ to $182$. We see that $7 \times 24 = 168$ is the nearest. Now subtract $168$ from $182$ to get reminder $14$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{24)}0227\phantom{8}\\24\overline{)5462}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)9}66\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}182\\\phantom{24)}\underline{\phantom{9}168\phantom{}}\\\phantom{24)99}14\\\end{array}$$

Since $14$ is less than $24$, stop the division. The reminder is $14$. The topmost line $0227$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $227$.

$$\text{Quotient: }227$$ $$\text{Reminder: }14$$

Show Solution

Factor

$\frac{2731}{2 ^ {2} \cdot 3} = 227\frac{7}{12} = 227.58333333333334$

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Steps For Long Division Method

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