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 344/115 | Equatix

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Question

$$\frac{344}{115}$$

Evaluate

$\frac{344}{115}\approx 2.991304348$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $344$

$$\begin{array}{l}\phantom{115)}\phantom{1}\\115\overline{)344}\\\end{array}$$

Since $3$ is less than $115$, use the next digit $4$ from dividend $344$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{115)}0\phantom{2}\\115\overline{)344}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $344$

$$\begin{array}{l}\phantom{115)}0\phantom{3}\\115\overline{)344}\\\end{array}$$

Since $34$ is less than $115$, use the next digit $4$ from dividend $344$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{115)}00\phantom{4}\\115\overline{)344}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $344$

$$\begin{array}{l}\phantom{115)}00\phantom{5}\\115\overline{)344}\\\end{array}$$

Find closest multiple of $115$ to $344$. We see that $2 \times 115 = 230$ is the nearest. Now subtract $230$ from $344$ to get reminder $114$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{115)}002\phantom{6}\\115\overline{)344}\\\phantom{115)}\underline{\phantom{}230\phantom{}}\\\phantom{115)}114\\\end{array}$$

Since $114$ is less than $115$, stop the division. The reminder is $114$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }114$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 43}{5 \cdot 23} = 2\frac{114}{115} = 2.991304347826087$