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

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


Simplifying
9x2 + y2 + 2y + -4 = 0

Reorder the terms:
-4 + 9x2 + 2y + y2 = 0

Solving
-4 + 9x2 + 2y + y2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 9x2 + 2y + 4 + y2 = 0 + 4

Reorder the terms:
-4 + 4 + 9x2 + 2y + y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9x2 + 2y + y2 = 0 + 4
9x2 + 2y + y2 = 0 + 4

Combine like terms: 0 + 4 = 4
9x2 + 2y + y2 = 4

Add '-2y' to each side of the equation.
9x2 + 2y + -2y + y2 = 4 + -2y

Combine like terms: 2y + -2y = 0
9x2 + 0 + y2 = 4 + -2y
9x2 + y2 = 4 + -2y

Add '-1y2' to each side of the equation.
9x2 + y2 + -1y2 = 4 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
9x2 + 0 = 4 + -2y + -1y2
9x2 = 4 + -2y + -1y2

Divide each side by '9'.
x2 = 0.4444444444 + -0.2222222222y + -0.1111111111y2

Simplifying
x2 = 0.4444444444 + -0.2222222222y + -0.1111111111y2

Reorder the terms:
-0.4444444444 + x2 + 0.2222222222y + 0.1111111111y2 = 0.4444444444 + -0.2222222222y + -0.1111111111y2 + -0.4444444444 + 0.2222222222y + 0.1111111111y2

Reorder the terms:
-0.4444444444 + x2 + 0.2222222222y + 0.1111111111y2 = 0.4444444444 + -0.4444444444 + -0.2222222222y + 0.2222222222y + -0.1111111111y2 + 0.1111111111y2

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
-0.4444444444 + x2 + 0.2222222222y + 0.1111111111y2 = 0.0000000000 + -0.2222222222y + 0.2222222222y + -0.1111111111y2 + 0.1111111111y2
-0.4444444444 + x2 + 0.2222222222y + 0.1111111111y2 = -0.2222222222y + 0.2222222222y + -0.1111111111y2 + 0.1111111111y2

Combine like terms: -0.2222222222y + 0.2222222222y = 0.0000000000
-0.4444444444 + x2 + 0.2222222222y + 0.1111111111y2 = 0.0000000000 + -0.1111111111y2 + 0.1111111111y2
-0.4444444444 + x2 + 0.2222222222y + 0.1111111111y2 = -0.1111111111y2 + 0.1111111111y2

Combine like terms: -0.1111111111y2 + 0.1111111111y2 = 0.0000000000
-0.4444444444 + x2 + 0.2222222222y + 0.1111111111y2 = 0.0000000000

The solution to this equation could not be determined.

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