Y^2+2y+x^2-24x=14

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Solution for Y^2+2y+x^2-24x=14 equation: 


Simplifying
Y2 + 2y + x2 + -24x = 14

Reorder the terms:
Y2 + -24x + x2 + 2y = 14

Solving
Y2 + -24x + x2 + 2y = 14

Solving for variable 'Y'.

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

Add '24x' to each side of the equation.
Y2 + -24x + x2 + 24x + 2y = 14 + 24x

Reorder the terms:
Y2 + -24x + 24x + x2 + 2y = 14 + 24x

Combine like terms: -24x + 24x = 0
Y2 + 0 + x2 + 2y = 14 + 24x
Y2 + x2 + 2y = 14 + 24x

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 + 2y = 14 + 24x + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 + 2y = 14 + 24x + -1x2
Y2 + 2y = 14 + 24x + -1x2

Add '-2y' to each side of the equation.
Y2 + 2y + -2y = 14 + 24x + -1x2 + -2y

Combine like terms: 2y + -2y = 0
Y2 + 0 = 14 + 24x + -1x2 + -2y
Y2 = 14 + 24x + -1x2 + -2y

Simplifying
Y2 = 14 + 24x + -1x2 + -2y

Reorder the terms:
-14 + Y2 + -24x + x2 + 2y = 14 + 24x + -1x2 + -2y + -14 + -24x + x2 + 2y

Reorder the terms:
-14 + Y2 + -24x + x2 + 2y = 14 + -14 + 24x + -24x + -1x2 + x2 + -2y + 2y

Combine like terms: 14 + -14 = 0
-14 + Y2 + -24x + x2 + 2y = 0 + 24x + -24x + -1x2 + x2 + -2y + 2y
-14 + Y2 + -24x + x2 + 2y = 24x + -24x + -1x2 + x2 + -2y + 2y

Combine like terms: 24x + -24x = 0
-14 + Y2 + -24x + x2 + 2y = 0 + -1x2 + x2 + -2y + 2y
-14 + Y2 + -24x + x2 + 2y = -1x2 + x2 + -2y + 2y

Combine like terms: -1x2 + x2 = 0
-14 + Y2 + -24x + x2 + 2y = 0 + -2y + 2y
-14 + Y2 + -24x + x2 + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-14 + Y2 + -24x + x2 + 2y = 0

The solution to this equation could not be determined.

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