81a^2b^4-c^6=0

Solution for 81a^2b^4-c^6=0 equation:

Simplifying
81a2b4 + -1c6 = 0

Solving
81a2b4 + -1c6 = 0

Solving for variable 'a'.

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

Add 'c6' to each side of the equation.
81a2b4 + -1c6 + c6 = 0 + c6

Combine like terms: -1c6 + c6 = 0
81a2b4 + 0 = 0 + c6
81a2b4 = 0 + c6
Remove the zero:
81a2b4 = c6

Divide each side by '81b4'.
a2 = 0.01234567901b-4c6

Simplifying
a2 = 0.01234567901b-4c6

Take the square root of each side:
a = {-0.111111111b-2c3, 0.111111111b-2c3}