4x^2+4y^2+24y+11=0

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Solution for 4x^2+4y^2+24y+11=0 equation:


Simplifying
4x2 + 4y2 + 24y + 11 = 0

Reorder the terms:
11 + 4x2 + 24y + 4y2 = 0

Solving
11 + 4x2 + 24y + 4y2 = 0

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + 4x2 + 24y + -11 + 4y2 = 0 + -11

Reorder the terms:
11 + -11 + 4x2 + 24y + 4y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x2 + 24y + 4y2 = 0 + -11
4x2 + 24y + 4y2 = 0 + -11

Combine like terms: 0 + -11 = -11
4x2 + 24y + 4y2 = -11

Add '-24y' to each side of the equation.
4x2 + 24y + -24y + 4y2 = -11 + -24y

Combine like terms: 24y + -24y = 0
4x2 + 0 + 4y2 = -11 + -24y
4x2 + 4y2 = -11 + -24y

Add '-4y2' to each side of the equation.
4x2 + 4y2 + -4y2 = -11 + -24y + -4y2

Combine like terms: 4y2 + -4y2 = 0
4x2 + 0 = -11 + -24y + -4y2
4x2 = -11 + -24y + -4y2

Divide each side by '4'.
x2 = -2.75 + -6y + -1y2

Simplifying
x2 = -2.75 + -6y + -1y2

Reorder the terms:
2.75 + x2 + 6y + y2 = -2.75 + -6y + -1y2 + 2.75 + 6y + y2

Reorder the terms:
2.75 + x2 + 6y + y2 = -2.75 + 2.75 + -6y + 6y + -1y2 + y2

Combine like terms: -2.75 + 2.75 = 0.00
2.75 + x2 + 6y + y2 = 0.00 + -6y + 6y + -1y2 + y2
2.75 + x2 + 6y + y2 = -6y + 6y + -1y2 + y2

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

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

The solution to this equation could not be determined.

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