35x^6=5x^4

Solution for 35x^6=5x^4 equation:

Simplifying
35x6 = 5x4

Solving
35x6 = 5x4

Solving for variable 'x'.

Reorder the terms:
-5x4 + 35x6 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
-5x4 + 35x6 = 0

Factor out the Greatest Common Factor (GCF), '5x4'.
5x4(-1 + 7x2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 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}