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.

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Question

$$\frac { 25 } { 19 }$$

Evaluate

$\frac{25}{19}\approx 1.315789474$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $25$

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)25}\\\end{array}$$

Since $2$ is less than $19$, use the next digit $5$ from dividend $25$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)25}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $25$

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)25}\\\end{array}$$

Find closest multiple of $19$ to $25$. We see that $1 \times 19 = 19$ is the nearest. Now subtract $19$ from $25$ to get reminder $6$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{19)}01\phantom{4}\\19\overline{)25}\\\phantom{19)}\underline{\phantom{}19\phantom{}}\\\phantom{19)9}6\\\end{array}$$

Since $6$ is less than $19$, stop the division. The reminder is $6$. The topmost line $01$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{5 ^ {2}}{19} = 1\frac{6}{19} = 1.3157894736842106$