16x^4-24x^2y+8y^2=0

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Solution for 16x^4-24x^2y+8y^2=0 equation: 


Simplifying
16x4 + -24x2y + 8y2 = 0

Reorder the terms:
-24x2y + 16x4 + 8y2 = 0

Solving
-24x2y + 16x4 + 8y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-3x2y + 2x4 + y2) = 0

Factor a trinomial.
8((x2 + -1y)(2x2 + -1y)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(x2 + -1y)' equal to zero and attempt to solve:

Simplifying
x2 + -1y = 0

Solving
x2 + -1y = 0

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

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

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

Simplifying
x2 = y

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 + -1y)' equal to zero and attempt to solve:

Simplifying
2x2 + -1y = 0

Solving
2x2 + -1y = 0

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

Add 'y' to each side of the equation.
2x2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x2 + 0 = 0 + y
2x2 = 0 + y
Remove the zero:
2x2 = y

Divide each side by '2'.
x2 = 0.5y

Simplifying
x2 = 0.5y

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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