18x^4+32x^2=0

Solution for 18x^4+32x^2=0 equation:

Simplifying
18x4 + 32x2 = 0

Reorder the terms:
32x2 + 18x4 = 0

Solving
32x2 + 18x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(16 + 9x2) = 0

Ignore the factor 2.
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 '(16 + 9x2)' equal to zero and attempt to solve:

Simplifying
16 + 9x2 = 0

Solving
16 + 9x2 = 0

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

Add '-16' to each side of the equation.
16 + -16 + 9x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 9x2 = 0 + -16
9x2 = 0 + -16

Combine like terms: 0 + -16 = -16
9x2 = -16

Divide each side by '9'.
x2 = -1.777777778

Simplifying
x2 = -1.777777778

The solution to this equation could not be determined.

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