4x^2y^2-y^2-9y^4-6y^3=0

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Solution for 4x^2y^2-y^2-9y^4-6y^3=0 equation: 


Simplifying
4x2y2 + -1y2 + -9y4 + -6y3 = 0

Reorder the terms:
4x2y2 + -1y2 + -6y3 + -9y4 = 0

Solving
4x2y2 + -1y2 + -6y3 + -9y4 = 0

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
4x2y2 + -1y2 + -6y3 + y2 + -9y4 = 0 + y2

Reorder the terms:
4x2y2 + -1y2 + y2 + -6y3 + -9y4 = 0 + y2

Combine like terms: -1y2 + y2 = 0
4x2y2 + 0 + -6y3 + -9y4 = 0 + y2
4x2y2 + -6y3 + -9y4 = 0 + y2
Remove the zero:
4x2y2 + -6y3 + -9y4 = y2

Add '6y3' to each side of the equation.
4x2y2 + -6y3 + 6y3 + -9y4 = y2 + 6y3

Combine like terms: -6y3 + 6y3 = 0
4x2y2 + 0 + -9y4 = y2 + 6y3
4x2y2 + -9y4 = y2 + 6y3

Add '9y4' to each side of the equation.
4x2y2 + -9y4 + 9y4 = y2 + 6y3 + 9y4

Combine like terms: -9y4 + 9y4 = 0
4x2y2 + 0 = y2 + 6y3 + 9y4
4x2y2 = y2 + 6y3 + 9y4

Divide each side by '4y2'.
x2 = 0.25 + 1.5y + 2.25y2

Simplifying
x2 = 0.25 + 1.5y + 2.25y2

Reorder the terms:
-0.25 + x2 + -1.5y + -2.25y2 = 0.25 + 1.5y + 2.25y2 + -0.25 + -1.5y + -2.25y2

Reorder the terms:
-0.25 + x2 + -1.5y + -2.25y2 = 0.25 + -0.25 + 1.5y + -1.5y + 2.25y2 + -2.25y2

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + x2 + -1.5y + -2.25y2 = 0.00 + 1.5y + -1.5y + 2.25y2 + -2.25y2
-0.25 + x2 + -1.5y + -2.25y2 = 1.5y + -1.5y + 2.25y2 + -2.25y2

Combine like terms: 1.5y + -1.5y = 0.0
-0.25 + x2 + -1.5y + -2.25y2 = 0.0 + 2.25y2 + -2.25y2
-0.25 + x2 + -1.5y + -2.25y2 = 2.25y2 + -2.25y2

Combine like terms: 2.25y2 + -2.25y2 = 0.00
-0.25 + x2 + -1.5y + -2.25y2 = 0.00

The solution to this equation could not be determined.

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