4 3/sqrt 3a - 9 3/sqrt3a = -5 3/sqrt 3a
show all the steps on how we got our answer
1. Combine like terms on the left side of the equation:
4(3/sqrt(3a)) - 9(3/sqrt(3a)) = (4-9)(3/sqrt(3a)) = -5(3/sqrt(3a))
2. Simplify the left side of the equation:
(12/sqrt(3a) - 27/sqrt(3a)) = -15/sqrt(3a)
3. Rewrite the equation with the simplified left side:
-15/sqrt(3a) = -5(3/sqrt(3a))
4. Multiply both sides by sqrt(3a) to get rid of the denominator:
-15 = -15
5. The final solution is -15 = -15, which is a true statement. Therefore, the original equation is true for all values of a.