4x^2+4y^2-24y+27=0

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Solution for 4x^2+4y^2-24y+27=0 equation: 


Simplifying
4x2 + 4y2 + -24y + 27 = 0

Reorder the terms:
27 + 4x2 + -24y + 4y2 = 0

Solving
27 + 4x2 + -24y + 4y2 = 0

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + 4x2 + -24y + -27 + 4y2 = 0 + -27

Reorder the terms:
27 + -27 + 4x2 + -24y + 4y2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 4x2 + -24y + 4y2 = 0 + -27
4x2 + -24y + 4y2 = 0 + -27

Combine like terms: 0 + -27 = -27
4x2 + -24y + 4y2 = -27

Add '24y' to each side of the equation.
4x2 + -24y + 24y + 4y2 = -27 + 24y

Combine like terms: -24y + 24y = 0
4x2 + 0 + 4y2 = -27 + 24y
4x2 + 4y2 = -27 + 24y

Add '-4y2' to each side of the equation.
4x2 + 4y2 + -4y2 = -27 + 24y + -4y2

Combine like terms: 4y2 + -4y2 = 0
4x2 + 0 = -27 + 24y + -4y2
4x2 = -27 + 24y + -4y2

Divide each side by '4'.
x2 = -6.75 + 6y + -1y2

Simplifying
x2 = -6.75 + 6y + -1y2

Reorder the terms:
6.75 + x2 + -6y + y2 = -6.75 + 6y + -1y2 + 6.75 + -6y + y2

Reorder the terms:
6.75 + x2 + -6y + y2 = -6.75 + 6.75 + 6y + -6y + -1y2 + y2

Combine like terms: -6.75 + 6.75 = 0.00
6.75 + x2 + -6y + y2 = 0.00 + 6y + -6y + -1y2 + y2
6.75 + x2 + -6y + y2 = 6y + -6y + -1y2 + y2

Combine like terms: 6y + -6y = 0
6.75 + x2 + -6y + y2 = 0 + -1y2 + y2
6.75 + x2 + -6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
6.75 + x2 + -6y + y2 = 0

The solution to this equation could not be determined.

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