4x^2+y^2+16y-4y+28=0

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Solution for 4x^2+y^2+16y-4y+28=0 equation: 


Simplifying
4x2 + y2 + 16y + -4y + 28 = 0

Reorder the terms:
28 + 4x2 + 16y + -4y + y2 = 0

Combine like terms: 16y + -4y = 12y
28 + 4x2 + 12y + y2 = 0

Solving
28 + 4x2 + 12y + y2 = 0

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + 4x2 + 12y + -28 + y2 = 0 + -28

Reorder the terms:
28 + -28 + 4x2 + 12y + y2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 4x2 + 12y + y2 = 0 + -28
4x2 + 12y + y2 = 0 + -28

Combine like terms: 0 + -28 = -28
4x2 + 12y + y2 = -28

Add '-12y' to each side of the equation.
4x2 + 12y + -12y + y2 = -28 + -12y

Combine like terms: 12y + -12y = 0
4x2 + 0 + y2 = -28 + -12y
4x2 + y2 = -28 + -12y

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = -28 + -12y + -1y2

Combine like terms: y2 + -1y2 = 0
4x2 + 0 = -28 + -12y + -1y2
4x2 = -28 + -12y + -1y2

Divide each side by '4'.
x2 = -7 + -3y + -0.25y2

Simplifying
x2 = -7 + -3y + -0.25y2

Reorder the terms:
7 + x2 + 3y + 0.25y2 = -7 + -3y + -0.25y2 + 7 + 3y + 0.25y2

Reorder the terms:
7 + x2 + 3y + 0.25y2 = -7 + 7 + -3y + 3y + -0.25y2 + 0.25y2

Combine like terms: -7 + 7 = 0
7 + x2 + 3y + 0.25y2 = 0 + -3y + 3y + -0.25y2 + 0.25y2
7 + x2 + 3y + 0.25y2 = -3y + 3y + -0.25y2 + 0.25y2

Combine like terms: -3y + 3y = 0
7 + x2 + 3y + 0.25y2 = 0 + -0.25y2 + 0.25y2
7 + x2 + 3y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
7 + x2 + 3y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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