4x^2+4y^2-20+4y-55=0

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Solution for 4x^2+4y^2-20+4y-55=0 equation: 


Simplifying
4x2 + 4y2 + -20 + 4y + -55 = 0

Reorder the terms:
-20 + -55 + 4x2 + 4y + 4y2 = 0

Combine like terms: -20 + -55 = -75
-75 + 4x2 + 4y + 4y2 = 0

Solving
-75 + 4x2 + 4y + 4y2 = 0

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 4x2 + 4y + 75 + 4y2 = 0 + 75

Reorder the terms:
-75 + 75 + 4x2 + 4y + 4y2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 4x2 + 4y + 4y2 = 0 + 75
4x2 + 4y + 4y2 = 0 + 75

Combine like terms: 0 + 75 = 75
4x2 + 4y + 4y2 = 75

Add '-4y' to each side of the equation.
4x2 + 4y + -4y + 4y2 = 75 + -4y

Combine like terms: 4y + -4y = 0
4x2 + 0 + 4y2 = 75 + -4y
4x2 + 4y2 = 75 + -4y

Add '-4y2' to each side of the equation.
4x2 + 4y2 + -4y2 = 75 + -4y + -4y2

Combine like terms: 4y2 + -4y2 = 0
4x2 + 0 = 75 + -4y + -4y2
4x2 = 75 + -4y + -4y2

Divide each side by '4'.
x2 = 18.75 + -1y + -1y2

Simplifying
x2 = 18.75 + -1y + -1y2

Reorder the terms:
-18.75 + x2 + y + y2 = 18.75 + -1y + -1y2 + -18.75 + y + y2

Reorder the terms:
-18.75 + x2 + y + y2 = 18.75 + -18.75 + -1y + y + -1y2 + y2

Combine like terms: 18.75 + -18.75 = 0.00
-18.75 + x2 + y + y2 = 0.00 + -1y + y + -1y2 + y2
-18.75 + x2 + y + y2 = -1y + y + -1y2 + y2

Combine like terms: -1y + y = 0
-18.75 + x2 + y + y2 = 0 + -1y2 + y2
-18.75 + x2 + y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-18.75 + x2 + y + y2 = 0

The solution to this equation could not be determined.

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