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

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


Simplifying
y2 + 2y + x2 + -24 = 14

Reorder the terms:
-24 + x2 + 2y + y2 = 14

Solving
-24 + x2 + 2y + y2 = 14

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + x2 + 2y + 24 + y2 = 14 + 24

Reorder the terms:
-24 + 24 + x2 + 2y + y2 = 14 + 24

Combine like terms: -24 + 24 = 0
0 + x2 + 2y + y2 = 14 + 24
x2 + 2y + y2 = 14 + 24

Combine like terms: 14 + 24 = 38
x2 + 2y + y2 = 38

Add '-2y' to each side of the equation.
x2 + 2y + -2y + y2 = 38 + -2y

Combine like terms: 2y + -2y = 0
x2 + 0 + y2 = 38 + -2y
x2 + y2 = 38 + -2y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 38 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 38 + -2y + -1y2
x2 = 38 + -2y + -1y2

Simplifying
x2 = 38 + -2y + -1y2

Reorder the terms:
-38 + x2 + 2y + y2 = 38 + -2y + -1y2 + -38 + 2y + y2

Reorder the terms:
-38 + x2 + 2y + y2 = 38 + -38 + -2y + 2y + -1y2 + y2

Combine like terms: 38 + -38 = 0
-38 + x2 + 2y + y2 = 0 + -2y + 2y + -1y2 + y2
-38 + x2 + 2y + y2 = -2y + 2y + -1y2 + y2

Combine like terms: -2y + 2y = 0
-38 + x2 + 2y + y2 = 0 + -1y2 + y2
-38 + x2 + 2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-38 + x2 + 2y + y2 = 0

The solution to this equation could not be determined.

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