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 137/18 | Equatix

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Question

$$137/18$$

Evaluate

$\frac{137}{18}\approx 7.611111111$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $137$

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)137}\\\end{array}$$

Since $1$ is less than $18$, use the next digit $3$ from dividend $137$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)137}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $137$

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)137}\\\end{array}$$

Since $13$ is less than $18$, use the next digit $7$ from dividend $137$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{18)}00\phantom{4}\\18\overline{)137}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $137$

$$\begin{array}{l}\phantom{18)}00\phantom{5}\\18\overline{)137}\\\end{array}$$

Find closest multiple of $18$ to $137$. We see that $7 \times 18 = 126$ is the nearest. Now subtract $126$ from $137$ to get reminder $11$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{18)}007\phantom{6}\\18\overline{)137}\\\phantom{18)}\underline{\phantom{}126\phantom{}}\\\phantom{18)9}11\\\end{array}$$

Since $11$ is less than $18$, stop the division. The reminder is $11$. The topmost line $007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }11$$

Show Solution

Factor

$\frac{137}{2 \cdot 3 ^ {2}} = 7\frac{11}{18} = 7.611111111111111$