4x^2+4y^2-16y+15=0

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Solution for 4x^2+4y^2-16y+15=0 equation: 


Simplifying
4x2 + 4y2 + -16y + 15 = 0

Reorder the terms:
15 + 4x2 + -16y + 4y2 = 0

Solving
15 + 4x2 + -16y + 4y2 = 0

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + 4x2 + -16y + -15 + 4y2 = 0 + -15

Reorder the terms:
15 + -15 + 4x2 + -16y + 4y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x2 + -16y + 4y2 = 0 + -15
4x2 + -16y + 4y2 = 0 + -15

Combine like terms: 0 + -15 = -15
4x2 + -16y + 4y2 = -15

Add '16y' to each side of the equation.
4x2 + -16y + 16y + 4y2 = -15 + 16y

Combine like terms: -16y + 16y = 0
4x2 + 0 + 4y2 = -15 + 16y
4x2 + 4y2 = -15 + 16y

Add '-4y2' to each side of the equation.
4x2 + 4y2 + -4y2 = -15 + 16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
4x2 + 0 = -15 + 16y + -4y2
4x2 = -15 + 16y + -4y2

Divide each side by '4'.
x2 = -3.75 + 4y + -1y2

Simplifying
x2 = -3.75 + 4y + -1y2

Reorder the terms:
3.75 + x2 + -4y + y2 = -3.75 + 4y + -1y2 + 3.75 + -4y + y2

Reorder the terms:
3.75 + x2 + -4y + y2 = -3.75 + 3.75 + 4y + -4y + -1y2 + y2

Combine like terms: -3.75 + 3.75 = 0.00
3.75 + x2 + -4y + y2 = 0.00 + 4y + -4y + -1y2 + y2
3.75 + x2 + -4y + y2 = 4y + -4y + -1y2 + y2

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

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

The solution to this equation could not be determined.

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