27a^2b-48b^3=0

Solution for 27a^2b-48b^3=0 equation:

Simplifying
27a2b + -48b3 = 0

Solving
27a2b + -48b3 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '48b3' to each side of the equation.
27a2b + -48b3 + 48b3 = 0 + 48b3

Combine like terms: -48b3 + 48b3 = 0
27a2b + 0 = 0 + 48b3
27a2b = 0 + 48b3
Remove the zero:
27a2b = 48b3

Divide each side by '27b'.
a2 = 1.777777778b2

Simplifying
a2 = 1.777777778b2

Take the square root of each side:
a = {-1.333333333b, 1.333333333b}