24x^6-28x^8=0

Solution for 24x^6-28x^8=0 equation:

Simplifying
24x6 + -28x8 = 0

Solving
24x6 + -28x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x6'.
4x6(6 + -7x2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve:

Simplifying
x6 = 0

Solving
x6 = 0

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

Simplifying
x6 = 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 + -7x2)' equal to zero and attempt to solve:

Simplifying
6 + -7x2 = 0

Solving
6 + -7x2 = 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 + -7x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x2 = 0 + -6
-7x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-7x2 = -6

Divide each side by '-7'.
x2 = 0.8571428571

Simplifying
x2 = 0.8571428571

Take the square root of each side:
x = {-0.9258201, 0.9258201}
Solution
x = {-0.9258201, 0.9258201}