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 78/25 | Equatix

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Question

$$78/25$$

Evaluate

$\frac{78}{25}=3.12$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $78$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)78}\\\end{array}$$

Since $7$ is less than $25$, use the next digit $8$ from dividend $78$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)78}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $78$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)78}\\\end{array}$$

Find closest multiple of $25$ to $78$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $78$ to get reminder $3$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)78}\\\phantom{25)}\underline{\phantom{}75\phantom{}}\\\phantom{25)9}3\\\end{array}$$

Since $3$ is less than $25$, stop the division. The reminder is $3$. The topmost line $03$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }3$$

Show Solution

Factor

$\frac{2 \cdot 3 \cdot 13}{5 ^ {2}} = 3\frac{3}{25} = 3.12$