Y^2+4x-2y+21=0

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Solution for Y^2+4x-2y+21=0 equation:


Simplifying
Y2 + 4x + -2y + 21 = 0

Reorder the terms:
21 + Y2 + 4x + -2y = 0

Solving
21 + Y2 + 4x + -2y = 0

Solving for variable 'Y'.

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

Add '-21' to each side of the equation.
21 + Y2 + 4x + -21 + -2y = 0 + -21

Reorder the terms:
21 + -21 + Y2 + 4x + -2y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + Y2 + 4x + -2y = 0 + -21
Y2 + 4x + -2y = 0 + -21

Combine like terms: 0 + -21 = -21
Y2 + 4x + -2y = -21

Add '-4x' to each side of the equation.
Y2 + 4x + -4x + -2y = -21 + -4x

Combine like terms: 4x + -4x = 0
Y2 + 0 + -2y = -21 + -4x
Y2 + -2y = -21 + -4x

Add '2y' to each side of the equation.
Y2 + -2y + 2y = -21 + -4x + 2y

Combine like terms: -2y + 2y = 0
Y2 + 0 = -21 + -4x + 2y
Y2 = -21 + -4x + 2y

Simplifying
Y2 = -21 + -4x + 2y

Reorder the terms:
21 + Y2 + 4x + -2y = -21 + -4x + 2y + 21 + 4x + -2y

Reorder the terms:
21 + Y2 + 4x + -2y = -21 + 21 + -4x + 4x + 2y + -2y

Combine like terms: -21 + 21 = 0
21 + Y2 + 4x + -2y = 0 + -4x + 4x + 2y + -2y
21 + Y2 + 4x + -2y = -4x + 4x + 2y + -2y

Combine like terms: -4x + 4x = 0
21 + Y2 + 4x + -2y = 0 + 2y + -2y
21 + Y2 + 4x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
21 + Y2 + 4x + -2y = 0

The solution to this equation could not be determined.

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