Algebra Examples

$\frac{x^{2} - 3 x}{x - 2} \cdot \frac{x^{2} + x - 6}{x}$

Step 1

Set the denominator in $\frac{x^{2} - 3 x}{x - 2}$ equal to $0$ to find where the expression is undefined.

$x - 2 = 0$

Step 2

Add $2$ to both sides of the equation.

$x = 2$

Step 3

Set the denominator in $\frac{x^{2} + x - 6}{x}$ equal to $0$ to find where the expression is undefined.

$x = 0$

Step 4

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x = 0, x = 2$

Step 5