9x^2-4y^2+8y+32=0

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Solution for 9x^2-4y^2+8y+32=0 equation: 


Simplifying
9x2 + -4y2 + 8y + 32 = 0

Reorder the terms:
32 + 9x2 + 8y + -4y2 = 0

Solving
32 + 9x2 + 8y + -4y2 = 0

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + 9x2 + 8y + -32 + -4y2 = 0 + -32

Reorder the terms:
32 + -32 + 9x2 + 8y + -4y2 = 0 + -32

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

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

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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