8xy^4-24x^3y^2=0

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Solution for 8xy^4-24x^3y^2=0 equation: 


Simplifying
8xy4 + -24x3y2 = 0

Solving
8xy4 + -24x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8xy2'.
8xy2(y2 + -3x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 0

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 '(y2 + -3x2)' equal to zero and attempt to solve:

Simplifying
y2 + -3x2 = 0

Reorder the terms:
-3x2 + y2 = 0

Solving
-3x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
-3x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-3x2 + 0 = 0 + -1y2
-3x2 = 0 + -1y2
Remove the zero:
-3x2 = -1y2

Divide each side by '-3'.
x2 = 0.3333333333y2

Simplifying
x2 = 0.3333333333y2

Take the square root of each side:
x = {-0.577350269y, 0.577350269y}
Solution
x = {-0.577350269y, 0.577350269y}

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