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 293/70 | Equatix

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Question

$$293/70$$

Evaluate

$\frac{293}{70}\approx 4.185714286$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $293$

$$\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)293}\\\end{array}$$

Since $2$ is less than $70$, use the next digit $9$ from dividend $293$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)293}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $293$

$$\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)293}\\\end{array}$$

Since $29$ is less than $70$, use the next digit $3$ from dividend $293$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)293}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $293$

$$\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)293}\\\end{array}$$

Find closest multiple of $70$ to $293$. We see that $4 \times 70 = 280$ is the nearest. Now subtract $280$ from $293$ to get reminder $13$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{70)}004\phantom{6}\\70\overline{)293}\\\phantom{70)}\underline{\phantom{}280\phantom{}}\\\phantom{70)9}13\\\end{array}$$

Since $13$ is less than $70$, stop the division. The reminder is $13$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }13$$

Show Solution

Factor

$\frac{293}{2 \cdot 5 \cdot 7} = 4\frac{13}{70} = 4.185714285714286$