4x^2-8xy^2+4y^4=0

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Solution for 4x^2-8xy^2+4y^4=0 equation:


Simplifying
4x2 + -8xy2 + 4y4 = 0

Reorder the terms:
-8xy2 + 4x2 + 4y4 = 0

Solving
-8xy2 + 4x2 + 4y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2xy2 + x2 + y4) = 0

Factor a trinomial.
4((x + -1y2)(x + -1y2)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(x + -1y2)' equal to zero and attempt to solve: Simplifying x + -1y2 = 0 Solving x + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 x + 0 = 0 + y2 x = 0 + y2 Remove the zero: x = y2 Simplifying x = y2

Subproblem 2

Set the factor '(x + -1y2)' equal to zero and attempt to solve: Simplifying x + -1y2 = 0 Solving x + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 x + 0 = 0 + y2 x = 0 + y2 Remove the zero: x = y2 Simplifying x = y2

Solution

x = {y2, y2}

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