4x^4+20x^2y^3+25y^6=0

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Solution for 4x^4+20x^2y^3+25y^6=0 equation: 


Simplifying
4x4 + 20x2y3 + 25y6 = 0

Reorder the terms:
20x2y3 + 4x4 + 25y6 = 0

Solving
20x2y3 + 4x4 + 25y6 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x2 + 5y3)(2x2 + 5y3) = 0


Subproblem 1
Set the factor '(2x2 + 5y3)' equal to zero and attempt to solve:

Simplifying
2x2 + 5y3 = 0

Solving
2x2 + 5y3 = 0

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

Add '-5y3' to each side of the equation.
2x2 + 5y3 + -5y3 = 0 + -5y3

Combine like terms: 5y3 + -5y3 = 0
2x2 + 0 = 0 + -5y3
2x2 = 0 + -5y3
Remove the zero:
2x2 = -5y3

Divide each side by '2'.
x2 = -2.5y3

Simplifying
x2 = -2.5y3

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 '(2x2 + 5y3)' equal to zero and attempt to solve:

Simplifying
2x2 + 5y3 = 0

Solving
2x2 + 5y3 = 0

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

Add '-5y3' to each side of the equation.
2x2 + 5y3 + -5y3 = 0 + -5y3

Combine like terms: 5y3 + -5y3 = 0
2x2 + 0 = 0 + -5y3
2x2 = 0 + -5y3
Remove the zero:
2x2 = -5y3

Divide each side by '2'.
x2 = -2.5y3

Simplifying
x2 = -2.5y3

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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