28x^5=4x^3

Solution for 28x^5=4x^3 equation:

Simplifying
28x5 = 4x3

Solving
28x5 = 4x3

Solving for variable 'x'.

Reorder the terms:
-4x3 + 28x5 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-4x3 + 28x5 = 0

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(-1 + 7x2) = 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 '(-1 + 7x2)' equal to zero and attempt to solve:

Simplifying
-1 + 7x2 = 0

Solving
-1 + 7x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 7x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7x2 = 0 + 1
7x2 = 0 + 1

Combine like terms: 0 + 1 = 1
7x2 = 1

Divide each side by '7'.
x2 = 0.1428571429

Simplifying
x2 = 0.1428571429

Take the square root of each side:
x = {-0.377964473, 0.377964473}
Solution
x = {-0.377964473, 0.377964473}