3x^5-81x^2=0

Solution for 3x^5-81x^2=0 equation:

Simplifying
3x5 + -81x2 = 0

Reorder the terms:
-81x2 + 3x5 = 0

Solving
-81x2 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-27 + x3) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-27 + x3)' equal to zero and attempt to solve:

Simplifying
-27 + x3 = 0

Solving
-27 + x3 = 0

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

Add '27' to each side of the equation.
-27 + 27 + x3 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + x3 = 0 + 27
x3 = 0 + 27

Combine like terms: 0 + 27 = 27
x3 = 27

Simplifying
x3 = 27

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}