4c^6-9c^4=0

Solution for 4c^6-9c^4=0 equation:

Simplifying
4c6 + -9c4 = 0

Reorder the terms:
-9c4 + 4c6 = 0

Solving
-9c4 + 4c6 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c4'.
c4(-9 + 4c2) = 0

Factor a difference between two squares.
c4((3 + 2c)(-3 + 2c)) = 0

Subproblem 1
Set the factor 'c4' equal to zero and attempt to solve:

Simplifying
c4 = 0

Solving
c4 = 0

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

Simplifying
c4 = 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 + 2c)' equal to zero and attempt to solve:

Simplifying
3 + 2c = 0

Solving
3 + 2c = 0

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

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

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

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

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

Simplifying
c = -1.5
Subproblem 3
Set the factor '(-3 + 2c)' equal to zero and attempt to solve:

Simplifying
-3 + 2c = 0

Solving
-3 + 2c = 0

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

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

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

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

Divide each side by '2'.
c = 1.5

Simplifying
c = 1.5
Solution
c = {-1.5, 1.5}