4x^5=24x^3

Solution for 4x^5=24x^3 equation:

Simplifying
4x5 = 24x3

Solving
4x5 = 24x3

Solving for variable 'x'.

Reorder the terms:
-24x3 + 4x5 = 24x3 + -24x3

Combine like terms: 24x3 + -24x3 = 0
-24x3 + 4x5 = 0

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(-6 + x2) = 0

Ignore the factor 4.
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 '(-6 + x2)' equal to zero and attempt to solve:

Simplifying
-6 + x2 = 0

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

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

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

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}
Solution
x = {-2.449489743, 2.449489743}