9(x^2)+2+(y^2)-(4y)-3=0

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Solution for 9(x^2)+2+(y^2)-(4y)-3=0 equation:


Simplifying
9(x2) + 2 + (y2) + -1(4y) + -3 = 0
9x2 + 2 + y2 + -1(4y) + -3 = 0

Remove parenthesis around (4y)
9x2 + 2 + y2 + -1 * 4y + -3 = 0

Multiply -1 * 4
9x2 + 2 + y2 + -4y + -3 = 0

Reorder the terms:
2 + -3 + 9x2 + -4y + y2 = 0

Combine like terms: 2 + -3 = -1
-1 + 9x2 + -4y + y2 = 0

Solving
-1 + 9x2 + -4y + y2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 9x2 + -4y + 1 + y2 = 0 + 1

Reorder the terms:
-1 + 1 + 9x2 + -4y + y2 = 0 + 1

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

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

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

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

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

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

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

Simplifying
x2 = 0.1111111111 + 0.4444444444y + -0.1111111111y2

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

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

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

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

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

The solution to this equation could not be determined.

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