36x^7-9x^2=0

Solution for 36x^7-9x^2=0 equation:

Simplifying
36x7 + -9x2 = 0

Reorder the terms:
-9x2 + 36x7 = 0

Solving
-9x2 + 36x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x2'.
9x2(-1 + 4x5) = 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 '(-1 + 4x5)' equal to zero and attempt to solve:

Simplifying
-1 + 4x5 = 0

Solving
-1 + 4x5 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4x5 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x5 = 0 + 1
4x5 = 0 + 1

Combine like terms: 0 + 1 = 1
4x5 = 1

Divide each side by '4'.
x5 = 0.25

Simplifying
x5 = 0.25

The solution to this equation could not be determined.

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