x^4+25x^2y^2=

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


Simplifying
x4 + 25x2y2 = 0

Reorder the terms:
25x2y2 + x4 = 0

Solving
25x2y2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(25y2 + x2) = 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 '(25y2 + x2)' equal to zero and attempt to solve: Simplifying 25y2 + x2 = 0 Reorder the terms: x2 + 25y2 = 0 Solving x2 + 25y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25y2' to each side of the equation. x2 + 25y2 + -25y2 = 0 + -25y2 Combine like terms: 25y2 + -25y2 = 0 x2 + 0 = 0 + -25y2 x2 = 0 + -25y2 Remove the zero: x2 = -25y2 Simplifying x2 = -25y2 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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