y^2+x^2-4y+3=0

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Solution for y^2+x^2-4y+3=0 equation:


Simplifying
y2 + x2 + -4y + 3 = 0

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

Solving
3 + x2 + -4y + y2 = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + x2 + -4y + -3 + y2 = 0 + -3

Reorder the terms:
3 + -3 + x2 + -4y + y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x2 + -4y + y2 = 0 + -3
x2 + -4y + y2 = 0 + -3

Combine like terms: 0 + -3 = -3
x2 + -4y + y2 = -3

Add '4y' to each side of the equation.
x2 + -4y + 4y + y2 = -3 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 + y2 = -3 + 4y
x2 + y2 = -3 + 4y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = -3 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = -3 + 4y + -1y2
x2 = -3 + 4y + -1y2

Simplifying
x2 = -3 + 4y + -1y2

Reorder the terms:
3 + x2 + -4y + y2 = -3 + 4y + -1y2 + 3 + -4y + y2

Reorder the terms:
3 + x2 + -4y + y2 = -3 + 3 + 4y + -4y + -1y2 + y2

Combine like terms: -3 + 3 = 0
3 + x2 + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
3 + x2 + -4y + y2 = 4y + -4y + -1y2 + y2

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

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

The solution to this equation could not be determined.

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