4y^2-8y+9x^2=32

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Solution for 4y^2-8y+9x^2=32 equation: 


Simplifying
4y2 + -8y + 9x2 = 32

Reorder the terms:
9x2 + -8y + 4y2 = 32

Solving
9x2 + -8y + 4y2 = 32

Solving for variable 'x'.

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

Add '8y' to each side of the equation.
9x2 + -8y + 8y + 4y2 = 32 + 8y

Combine like terms: -8y + 8y = 0
9x2 + 0 + 4y2 = 32 + 8y
9x2 + 4y2 = 32 + 8y

Add '-4y2' to each side of the equation.
9x2 + 4y2 + -4y2 = 32 + 8y + -4y2

Combine like terms: 4y2 + -4y2 = 0
9x2 + 0 = 32 + 8y + -4y2
9x2 = 32 + 8y + -4y2

Divide each side by '9'.
x2 = 3.555555556 + 0.8888888889y + -0.4444444444y2

Simplifying
x2 = 3.555555556 + 0.8888888889y + -0.4444444444y2

Reorder the terms:
-3.555555556 + x2 + -0.8888888889y + 0.4444444444y2 = 3.555555556 + 0.8888888889y + -0.4444444444y2 + -3.555555556 + -0.8888888889y + 0.4444444444y2

Reorder the terms:
-3.555555556 + x2 + -0.8888888889y + 0.4444444444y2 = 3.555555556 + -3.555555556 + 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: 3.555555556 + -3.555555556 = 0.000000000
-3.555555556 + x2 + -0.8888888889y + 0.4444444444y2 = 0.000000000 + 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2
-3.555555556 + x2 + -0.8888888889y + 0.4444444444y2 = 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: 0.8888888889y + -0.8888888889y = 0.0000000000
-3.555555556 + x2 + -0.8888888889y + 0.4444444444y2 = 0.0000000000 + -0.4444444444y2 + 0.4444444444y2
-3.555555556 + x2 + -0.8888888889y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2

Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000
-3.555555556 + x2 + -0.8888888889y + 0.4444444444y2 = 0.0000000000

The solution to this equation could not be determined.

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