Algebra Examples

$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$

Step 1

Set the denominator in $\frac{x^{2} (x - 4)}{x - 3}$ equal to $0$ to find where the expression is undefined.

$x - 3 = 0$

Step 2

Add $3$ to both sides of the equation.

$x = 3$

Step 3

Set the denominator in $\frac{(x - 3) (x + 6)}{x^{3}}$ equal to $0$ to find where the expression is undefined.

$x^{3} = 0$

Step 4

Solve for $x$ .

Tap for more steps...

Step 4.1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[3]{0}$

Step 4.2

Simplify $\sqrt[3]{0}$ .

Tap for more steps...

Step 4.2.1

Rewrite $0$ as $0^{3}$ .

$x = \sqrt[3]{0^{3}}$

Step 4.2.2

Pull terms out from under the radical, assuming real numbers.

$x = 0$

Step 5

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 $0$ .

$x = 0, x = 3$

Step 6