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 + -4x + 2y + y2 = 0

Solving
21 + -4x + 2y + y2 = 0

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -4x + 2y + -21 + y2 = 0 + -21

Reorder the terms:
21 + -21 + -4x + 2y + y2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -4x + 2y + y2 = 0 + -21
-4x + 2y + y2 = 0 + -21

Combine like terms: 0 + -21 = -21
-4x + 2y + y2 = -21

Add '-2y' to each side of the equation.
-4x + 2y + -2y + y2 = -21 + -2y

Combine like terms: 2y + -2y = 0
-4x + 0 + y2 = -21 + -2y
-4x + y2 = -21 + -2y

Add '-1y2' to each side of the equation.
-4x + y2 + -1y2 = -21 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
-4x + 0 = -21 + -2y + -1y2
-4x = -21 + -2y + -1y2

Divide each side by '-4'.
x = 5.25 + 0.5y + 0.25y2

Simplifying
x = 5.25 + 0.5y + 0.25y2

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