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 14 94 | Equatix

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Question

$$\frac { 94 } { 14 }$$

Evaluate

$\frac{47}{7}\approx 6.714285714$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $94$

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)94}\\\end{array}$$

Since $9$ is less than $14$, use the next digit $4$ from dividend $94$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)94}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $94$

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)94}\\\end{array}$$

Find closest multiple of $14$ to $94$. We see that $6 \times 14 = 84$ is the nearest. Now subtract $84$ from $94$ to get reminder $10$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{14)}06\phantom{4}\\14\overline{)94}\\\phantom{14)}\underline{\phantom{}84\phantom{}}\\\phantom{14)}10\\\end{array}$$

Since $10$ is less than $14$, stop the division. The reminder is $10$. The topmost line $06$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{47}{7} = 6\frac{5}{7} = 6.714285714285714$