8x^7-18x^3=0

Solution for 8x^7-18x^3=0 equation:

Simplifying
8x7 + -18x3 = 0

Reorder the terms:
-18x3 + 8x7 = 0

Solving
-18x3 + 8x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x3'.
2x3(-9 + 4x4) = 0

Factor a difference between two squares.
2x3((3 + 2x2)(-3 + 2x2)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 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 '(3 + 2x2)' equal to zero and attempt to solve:

Simplifying
3 + 2x2 = 0

Solving
3 + 2x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x2 = 0 + -3
2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2x2 = -3

Divide each side by '2'.
x2 = -1.5

Simplifying
x2 = -1.5

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 '(-3 + 2x2)' equal to zero and attempt to solve:

Simplifying
-3 + 2x2 = 0

Solving
-3 + 2x2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = 0 + 3
2x2 = 0 + 3

Combine like terms: 0 + 3 = 3
2x2 = 3

Divide each side by '2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}
Solution
x = {-1.224744871, 1.224744871}