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 78/46 | Equatix

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Question

$$78/46$$

Evaluate

$\frac{39}{23}\approx 1.695652174$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)78}\\\end{array}$$

Since $7$ is less than $46$, use the next digit $8$ from dividend $78$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)78}\\\end{array}$$

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

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)78}\\\end{array}$$

Find closest multiple of $46$ to $78$. We see that $1 \times 46 = 46$ is the nearest. Now subtract $46$ from $78$ to get reminder $32$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{46)}01\phantom{4}\\46\overline{)78}\\\phantom{46)}\underline{\phantom{}46\phantom{}}\\\phantom{46)}32\\\end{array}$$

Since $32$ is less than $46$, stop the division. The reminder is $32$. The topmost line $01$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }32$$

Show Solution

Factor

$\frac{3 \cdot 13}{23} = 1\frac{16}{23} = 1.6956521739130435$