9x^2+49y^2=392y-343

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Solution for 9x^2+49y^2=392y-343 equation: 


Simplifying
9x2 + 49y2 = 392y + -343

Reorder the terms:
9x2 + 49y2 = -343 + 392y

Solving
9x2 + 49y2 = -343 + 392y

Solving for variable 'x'.

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

Add '-49y2' to each side of the equation.
9x2 + 49y2 + -49y2 = -343 + 392y + -49y2

Combine like terms: 49y2 + -49y2 = 0
9x2 + 0 = -343 + 392y + -49y2
9x2 = -343 + 392y + -49y2

Divide each side by '9'.
x2 = -38.11111111 + 43.55555556y + -5.444444444y2

Simplifying
x2 = -38.11111111 + 43.55555556y + -5.444444444y2

Reorder the terms:
38.11111111 + x2 + -43.55555556y + 5.444444444y2 = -38.11111111 + 43.55555556y + -5.444444444y2 + 38.11111111 + -43.55555556y + 5.444444444y2

Reorder the terms:
38.11111111 + x2 + -43.55555556y + 5.444444444y2 = -38.11111111 + 38.11111111 + 43.55555556y + -43.55555556y + -5.444444444y2 + 5.444444444y2

Combine like terms: -38.11111111 + 38.11111111 = 0.00000000
38.11111111 + x2 + -43.55555556y + 5.444444444y2 = 0.00000000 + 43.55555556y + -43.55555556y + -5.444444444y2 + 5.444444444y2
38.11111111 + x2 + -43.55555556y + 5.444444444y2 = 43.55555556y + -43.55555556y + -5.444444444y2 + 5.444444444y2

Combine like terms: 43.55555556y + -43.55555556y = 0.00000000
38.11111111 + x2 + -43.55555556y + 5.444444444y2 = 0.00000000 + -5.444444444y2 + 5.444444444y2
38.11111111 + x2 + -43.55555556y + 5.444444444y2 = -5.444444444y2 + 5.444444444y2

Combine like terms: -5.444444444y2 + 5.444444444y2 = 0.000000000
38.11111111 + x2 + -43.55555556y + 5.444444444y2 = 0.000000000

The solution to this equation could not be determined.

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