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 2570/24 | Equatix

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Question

$$2570\div24$$

Evaluate

$\frac{1285}{12}\approx 107.083333333$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2570$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2570}\\\end{array}$$

Since $2$ is less than $24$, use the next digit $5$ from dividend $2570$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2570}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $2570$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2570}\\\end{array}$$

Find closest multiple of $24$ to $25$. We see that $1 \times 24 = 24$ is the nearest. Now subtract $24$ from $25$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)2570}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}1\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $2570$

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)2570}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}17\\\end{array}$$

Since $17$ is less than $24$, use the next digit $0$ from dividend $2570$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}010\phantom{6}\\24\overline{)2570}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}17\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $2570$

$$\begin{array}{l}\phantom{24)}010\phantom{7}\\24\overline{)2570}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}170\\\end{array}$$

Find closest multiple of $24$ to $170$. We see that $7 \times 24 = 168$ is the nearest. Now subtract $168$ from $170$ to get reminder $2$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{24)}0107\phantom{8}\\24\overline{)2570}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}170\\\phantom{24)}\underline{\phantom{9}168\phantom{}}\\\phantom{24)999}2\\\end{array}$$

Since $2$ is less than $24$, stop the division. The reminder is $2$. The topmost line $0107$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $107$.

$$\text{Quotient: }107$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{5 \cdot 257}{2 ^ {2} \cdot 3} = 107\frac{1}{12} = 107.08333333333333$