Algebra Examples

$\frac{x - 8}{x + 8} = \frac{2 x + 3}{2 x - 1}$

Step 1

Set the denominator in $\frac{x - 8}{x + 8}$ equal to $0$ to find where the expression is undefined.

$x + 8 = 0$

Step 2

Subtract $8$ from both sides of the equation.

$x = - 8$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(- \infty, - 8) \cup (- 8, \infty)$

Set-Builder Notation:

${x | x \neq - 8}$

Step 4