x^2-3=6-y^2

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Solution for x^2-3=6-y^2 equation:


Simplifying
x2 + -3 = 6 + -1y2

Reorder the terms:
-3 + x2 = 6 + -1y2

Solving
-3 + x2 = 6 + -1y2

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x2 = 6 + 3 + -1y2

Combine like terms: -3 + 3 = 0
0 + x2 = 6 + 3 + -1y2
x2 = 6 + 3 + -1y2

Combine like terms: 6 + 3 = 9
x2 = 9 + -1y2

Simplifying
x2 = 9 + -1y2

Reorder the terms:
-9 + x2 + y2 = 9 + -1y2 + -9 + y2

Reorder the terms:
-9 + x2 + y2 = 9 + -9 + -1y2 + y2

Combine like terms: 9 + -9 = 0
-9 + x2 + y2 = 0 + -1y2 + y2
-9 + x2 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-9 + x2 + y2 = 0

The solution to this equation could not be determined.

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