yx^2=5x^4

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Solution for yx^2=5x^4 equation: 


Simplifying
yx2 = 5x4

Solving
x2y = 5x4

Solving for variable 'x'.

Combine like terms: 5x4 + -5x4 = 0
x2y + -5x4 = 0

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


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(y + -5x2)' equal to zero and attempt to solve:

Simplifying
y + -5x2 = 0

Reorder the terms:
-5x2 + y = 0

Solving
-5x2 + y = 0

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

Add '-1y' to each side of the equation.
-5x2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-5x2 + 0 = 0 + -1y
-5x2 = 0 + -1y
Remove the zero:
-5x2 = -1y

Divide each side by '-5'.
x2 = 0.2y

Simplifying
x2 = 0.2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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