52x^5y^3=4x^3y

Solution for 52x^5y^3=4x^3y equation:

Simplifying
52x5y3 = 4x3y

Solving
52x5y3 = 4x3y

Solving for variable 'x'.

Reorder the terms:
-4x3y + 52x5y3 = 4x3y + -4x3y

Combine like terms: 4x3y + -4x3y = 0
-4x3y + 52x5y3 = 0

Factor out the Greatest Common Factor (GCF), '4x3y'.
4x3y(-1 + 13x2y2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve:

Simplifying
x3y = 0

Solving
x3y = 0

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

Simplifying
x3y = 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 + 13x2y2)' equal to zero and attempt to solve:

Simplifying
-1 + 13x2y2 = 0

Solving
-1 + 13x2y2 = 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 + 13x2y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 13x2y2 = 0 + 1
13x2y2 = 0 + 1

Combine like terms: 0 + 1 = 1
13x2y2 = 1

Divide each side by '13y2'.
x2 = 0.07692307692y-2

Simplifying
x2 = 0.07692307692y-2

Take the square root of each side:
x = {-0.277350098y-1, 0.277350098y-1}
Solution
x = {-0.277350098y-1, 0.277350098y-1}