25y^4-10y^2x+x^2=0

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Solution for 25y^4-10y^2x+x^2=0 equation: 


Simplifying
25y4 + -10y2x + x2 = 0

Reorder the terms:
-10xy2 + x2 + 25y4 = 0

Solving
-10xy2 + x2 + 25y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5y2)(x + -5y2) = 0


Subproblem 1
Set the factor '(x + -5y2)' equal to zero and attempt to solve:

Simplifying
x + -5y2 = 0

Solving
x + -5y2 = 0

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

Add '5y2' to each side of the equation.
x + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
x + 0 = 0 + 5y2
x = 0 + 5y2
Remove the zero:
x = 5y2

Simplifying
x = 5y2

Subproblem 2
Set the factor '(x + -5y2)' equal to zero and attempt to solve:

Simplifying
x + -5y2 = 0

Solving
x + -5y2 = 0

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

Add '5y2' to each side of the equation.
x + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
x + 0 = 0 + 5y2
x = 0 + 5y2
Remove the zero:
x = 5y2

Simplifying
x = 5y2
Solution
x = {5y2, 5y2}

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