16x^4-(24x^2)y+9y^2=0

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Solution for 16x^4-(24x^2)y+9y^2=0 equation: 


Simplifying
16x4 + -1(24x2) * y + 9y2 = 0

Remove parenthesis around (24x2)
16x4 + -1 * 24x2 * y + 9y2 = 0

Multiply -1 * 24
16x4 + -24x2 * y + 9y2 = 0

Multiply x2 * y
16x4 + -24x2y + 9y2 = 0

Reorder the terms:
-24x2y + 16x4 + 9y2 = 0

Solving
-24x2y + 16x4 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x2 + -3y)(4x2 + -3y) = 0


Subproblem 1
Set the factor '(4x2 + -3y)' equal to zero and attempt to solve:

Simplifying
4x2 + -3y = 0

Solving
4x2 + -3y = 0

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

Add '3y' to each side of the equation.
4x2 + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x2 + 0 = 0 + 3y
4x2 = 0 + 3y
Remove the zero:
4x2 = 3y

Divide each side by '4'.
x2 = 0.75y

Simplifying
x2 = 0.75y

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 '(4x2 + -3y)' equal to zero and attempt to solve:

Simplifying
4x2 + -3y = 0

Solving
4x2 + -3y = 0

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

Add '3y' to each side of the equation.
4x2 + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x2 + 0 = 0 + 3y
4x2 = 0 + 3y
Remove the zero:
4x2 = 3y

Divide each side by '4'.
x2 = 0.75y

Simplifying
x2 = 0.75y

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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