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 780/560 | Equatix

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Question

$$780/560$$

Evaluate

$\frac{39}{28}\approx 1.392857143$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $780$

$$\begin{array}{l}\phantom{560)}\phantom{1}\\560\overline{)780}\\\end{array}$$

Since $7$ is less than $560$, use the next digit $8$ from dividend $780$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{560)}0\phantom{2}\\560\overline{)780}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $780$

$$\begin{array}{l}\phantom{560)}0\phantom{3}\\560\overline{)780}\\\end{array}$$

Since $78$ is less than $560$, use the next digit $0$ from dividend $780$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{560)}00\phantom{4}\\560\overline{)780}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $780$

$$\begin{array}{l}\phantom{560)}00\phantom{5}\\560\overline{)780}\\\end{array}$$

Find closest multiple of $560$ to $780$. We see that $1 \times 560 = 560$ is the nearest. Now subtract $560$ from $780$ to get reminder $220$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{560)}001\phantom{6}\\560\overline{)780}\\\phantom{560)}\underline{\phantom{}560\phantom{}}\\\phantom{560)}220\\\end{array}$$

Since $220$ is less than $560$, stop the division. The reminder is $220$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }220$$

Show Solution

Factor

$\frac{3 \cdot 13}{2 ^ {2} \cdot 7} = 1\frac{11}{28} = 1.3928571428571428$