Solving a rational Equation

The video tutorial explains how to solve a rational equation by eliminating fractions through finding the least common denominator (LCD). It demonstrates multiplying each term by the LCD to remove denominators, applying the distributive property, and solving the resulting quadratic equation. The tutorial also covers factoring the quadratic equation and checking for extraneous solutions to ensure they satisfy the original equation.

What are the solutions to the equation after applying the zero product property?

Why is it important to check for extraneous solutions in rational equations?