9x^2+4y^2-32y+28=0

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Solution for 9x^2+4y^2-32y+28=0 equation:


Simplifying
9x2 + 4y2 + -32y + 28 = 0

Reorder the terms:
28 + 9x2 + -32y + 4y2 = 0

Solving
28 + 9x2 + -32y + 4y2 = 0

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + 9x2 + -32y + -28 + 4y2 = 0 + -28

Reorder the terms:
28 + -28 + 9x2 + -32y + 4y2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 9x2 + -32y + 4y2 = 0 + -28
9x2 + -32y + 4y2 = 0 + -28

Combine like terms: 0 + -28 = -28
9x2 + -32y + 4y2 = -28

Add '32y' to each side of the equation.
9x2 + -32y + 32y + 4y2 = -28 + 32y

Combine like terms: -32y + 32y = 0
9x2 + 0 + 4y2 = -28 + 32y
9x2 + 4y2 = -28 + 32y

Add '-4y2' to each side of the equation.
9x2 + 4y2 + -4y2 = -28 + 32y + -4y2

Combine like terms: 4y2 + -4y2 = 0
9x2 + 0 = -28 + 32y + -4y2
9x2 = -28 + 32y + -4y2

Divide each side by '9'.
x2 = -3.111111111 + 3.555555556y + -0.4444444444y2

Simplifying
x2 = -3.111111111 + 3.555555556y + -0.4444444444y2

Reorder the terms:
3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = -3.111111111 + 3.555555556y + -0.4444444444y2 + 3.111111111 + -3.555555556y + 0.4444444444y2

Reorder the terms:
3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = -3.111111111 + 3.111111111 + 3.555555556y + -3.555555556y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: -3.111111111 + 3.111111111 = 0.000000000
3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 0.000000000 + 3.555555556y + -3.555555556y + -0.4444444444y2 + 0.4444444444y2
3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 3.555555556y + -3.555555556y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: 3.555555556y + -3.555555556y = 0.000000000
3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 0.000000000 + -0.4444444444y2 + 0.4444444444y2
3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2

Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000
3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 0.0000000000

The solution to this equation could not be determined.

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