y^2+10y+25-x^2=0

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Solution for y^2+10y+25-x^2=0 equation:


Simplifying
y2 + 10y + 25 + -1x2 = 0

Reorder the terms:
25 + -1x2 + 10y + y2 = 0

Solving
25 + -1x2 + 10y + y2 = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -1x2 + 10y + -25 + y2 = 0 + -25

Reorder the terms:
25 + -25 + -1x2 + 10y + y2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x2 + 10y + y2 = 0 + -25
-1x2 + 10y + y2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1x2 + 10y + y2 = -25

Add '-10y' to each side of the equation.
-1x2 + 10y + -10y + y2 = -25 + -10y

Combine like terms: 10y + -10y = 0
-1x2 + 0 + y2 = -25 + -10y
-1x2 + y2 = -25 + -10y

Add '-1y2' to each side of the equation.
-1x2 + y2 + -1y2 = -25 + -10y + -1y2

Combine like terms: y2 + -1y2 = 0
-1x2 + 0 = -25 + -10y + -1y2
-1x2 = -25 + -10y + -1y2

Divide each side by '-1'.
x2 = 25 + 10y + y2

Simplifying
x2 = 25 + 10y + y2

Reorder the terms:
-25 + x2 + -10y + -1y2 = 25 + 10y + y2 + -25 + -10y + -1y2

Reorder the terms:
-25 + x2 + -10y + -1y2 = 25 + -25 + 10y + -10y + y2 + -1y2

Combine like terms: 25 + -25 = 0
-25 + x2 + -10y + -1y2 = 0 + 10y + -10y + y2 + -1y2
-25 + x2 + -10y + -1y2 = 10y + -10y + y2 + -1y2

Combine like terms: 10y + -10y = 0
-25 + x2 + -10y + -1y2 = 0 + y2 + -1y2
-25 + x2 + -10y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-25 + x2 + -10y + -1y2 = 0

The solution to this equation could not be determined.

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