36x^4+54x^2+81x^7=0

Solution for 36x^4+54x^2+81x^7=0 equation:

Simplifying
36x4 + 54x2 + 81x7 = 0

Reorder the terms:
54x2 + 36x4 + 81x7 = 0

Solving
54x2 + 36x4 + 81x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x2'.
9x2(6 + 4x2 + 9x5) = 0

Ignore the factor 9.
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 '(6 + 4x2 + 9x5)' equal to zero and attempt to solve:

Simplifying
6 + 4x2 + 9x5 = 0

Solving
6 + 4x2 + 9x5 = 0

The solution to this equation could not be determined.

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