25x^8-36x^4=0

Solution for 25x^8-36x^4=0 equation:

Simplifying
25x8 + -36x4 = 0

Reorder the terms:
-36x4 + 25x8 = 0

Solving
-36x4 + 25x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x4'.
x4(-36 + 25x4) = 0

Factor a difference between two squares.
x4((6 + 5x2)(-6 + 5x2)) = 0

Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(6 + 5x2)' equal to zero and attempt to solve:

Simplifying
6 + 5x2 = 0

Solving
6 + 5x2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x2 = 0 + -6
5x2 = 0 + -6

Combine like terms: 0 + -6 = -6
5x2 = -6

Divide each side by '5'.
x2 = -1.2

Simplifying
x2 = -1.2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(-6 + 5x2)' equal to zero and attempt to solve:

Simplifying
-6 + 5x2 = 0

Solving
-6 + 5x2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x2 = 0 + 6
5x2 = 0 + 6

Combine like terms: 0 + 6 = 6
5x2 = 6

Divide each side by '5'.
x2 = 1.2

Simplifying
x2 = 1.2

Take the square root of each side:
x = {-1.095445115, 1.095445115}
Solution
x = {-1.095445115, 1.095445115}