(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 x2 * y
(16x4) + -1(24x2y) + (9y2) = 0

Remove parenthesis around (24x2y)
(16x4) + -1 * 24x2y + (9y2) = 0

Multiply -1 * 24
(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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