Solve rational equations

A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

To find the LCD, factor each denominator into its prime factors, then take the highest power of each factor that appears in any of the denominators.

x = -3

r = 3

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

x = 5.4

LCD = x(x-2)

The first step is to find the least common denominator (LCD) and multiply both sides of the equation by it to eliminate the fractions.

x = 0

You should substitute the potential solutions back into the original equation to check for extraneous solutions.