x^2+4y^2-16y+12=0

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Solution for x^2+4y^2-16y+12=0 equation:


Simplifying
x2 + 4y2 + -16y + 12 = 0

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

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

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + x2 + -16y + -12 + 4y2 = 0 + -12

Reorder the terms:
12 + -12 + x2 + -16y + 4y2 = 0 + -12

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

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

Add '16y' to each side of the equation.
x2 + -16y + 16y + 4y2 = -12 + 16y

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

Add '-4y2' to each side of the equation.
x2 + 4y2 + -4y2 = -12 + 16y + -4y2

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

Simplifying
x2 = -12 + 16y + -4y2

Reorder the terms:
12 + x2 + -16y + 4y2 = -12 + 16y + -4y2 + 12 + -16y + 4y2

Reorder the terms:
12 + x2 + -16y + 4y2 = -12 + 12 + 16y + -16y + -4y2 + 4y2

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

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

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

The solution to this equation could not be determined.

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