25*x^4*y^8=5*x*y^2

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Solution for 25*x^4*y^8=5*x*y^2 equation:


Simplifying
25x4 * y8 = 5x * y2

Multiply x4 * y8
25x4y8 = 5x * y2

Multiply x * y2
25x4y8 = 5xy2

Solving
25x4y8 = 5xy2

Solving for variable 'x'.

Reorder the terms:
-5xy2 + 25x4y8 = 5xy2 + -5xy2

Combine like terms: 5xy2 + -5xy2 = 0
-5xy2 + 25x4y8 = 0

Factor out the Greatest Common Factor (GCF), '5xy2'.
5xy2(-1 + 5x3y6) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 + 5x3y6)' equal to zero and attempt to solve: Simplifying -1 + 5x3y6 = 0 Solving -1 + 5x3y6 = 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 + 5x3y6 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x3y6 = 0 + 1 5x3y6 = 0 + 1 Combine like terms: 0 + 1 = 1 5x3y6 = 1 Divide each side by '5y6'. x3 = 0.2y-6 Simplifying x3 = 0.2y-6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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