# How do you simplify (a^2)/(a-3)= 9/ (a-3)?

Apr 12, 2016

Since everything is on the same denominator, we can eliminate the denominators and solve.

#### Explanation:

${a}^{2} = 9$

$a = \sqrt{9}$

$a = \pm 3$

However, +3 would make the denominator equal to zero, which is undefined in the real number system. Therefore, the solution set is $\left\{x = - 3\right\}$

Hopefully this helps!