9y^4=12x(8x+y^2)

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Solution for 9y^4=12x(8x+y^2) equation: 


Simplifying
9y4 = 12x(8x + y2)
9y4 = (8x * 12x + y2 * 12x)

Reorder the terms:
9y4 = (12xy2 + 96x2)
9y4 = (12xy2 + 96x2)

Solving
9y4 = 12xy2 + 96x2

Solving for variable 'y'.

Reorder the terms:
-12xy2 + -96x2 + 9y4 = 12xy2 + 96x2 + -12xy2 + -96x2

Reorder the terms:
-12xy2 + -96x2 + 9y4 = 12xy2 + -12xy2 + 96x2 + -96x2

Combine like terms: 12xy2 + -12xy2 = 0
-12xy2 + -96x2 + 9y4 = 0 + 96x2 + -96x2
-12xy2 + -96x2 + 9y4 = 96x2 + -96x2

Combine like terms: 96x2 + -96x2 = 0
-12xy2 + -96x2 + 9y4 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4xy2 + -32x2 + 3y4) = 0

Factor a trinomial.
3((-8x + -3y2)(4x + -1y2)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8x + -3y2)' equal to zero and attempt to solve:

Simplifying
-8x + -3y2 = 0

Solving
-8x + -3y2 = 0

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

Add '8x' to each side of the equation.
-8x + 8x + -3y2 = 0 + 8x

Combine like terms: -8x + 8x = 0
0 + -3y2 = 0 + 8x
-3y2 = 0 + 8x
Remove the zero:
-3y2 = 8x

Divide each side by '-3'.
y2 = -2.666666667x

Simplifying
y2 = -2.666666667x

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 '(4x + -1y2)' equal to zero and attempt to solve:

Simplifying
4x + -1y2 = 0

Solving
4x + -1y2 = 0

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

Add '-4x' to each side of the equation.
4x + -4x + -1y2 = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + -1y2 = 0 + -4x
-1y2 = 0 + -4x
Remove the zero:
-1y2 = -4x

Divide each side by '-1'.
y2 = 4x

Simplifying
y2 = 4x

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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