Answer
$$x=18$$
Work Step by Step
equation. It is important to remember that there are many ways to do this. For instance, we could combine the different fractions and then simplify, or we could multiply both sides of the equation by the least common denominator. In addition, we may need previously learned methods of solving equations, such as factoring. Thus, solving the rational equation, we obtain:
$$ \frac{6}{\left(x-3\right)\left(x+3\right)}-\frac{4}{x^2-7x+12}=0\\ 6\left(x-4\right)-4\left(x+3\right)=0\\ 2x-36=0\\ x=18$$