(x^2-5)-(y^2+6)=0

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Solution for (x^2-5)-(y^2+6)=0 equation:


Simplifying
(x2 + -5) + -1(y2 + 6) = 0

Reorder the terms:
(-5 + x2) + -1(y2 + 6) = 0

Remove parenthesis around (-5 + x2)
-5 + x2 + -1(y2 + 6) = 0

Reorder the terms:
-5 + x2 + -1(6 + y2) = 0
-5 + x2 + (6 * -1 + y2 * -1) = 0
-5 + x2 + (-6 + -1y2) = 0

Reorder the terms:
-5 + -6 + x2 + -1y2 = 0

Combine like terms: -5 + -6 = -11
-11 + x2 + -1y2 = 0

Solving
-11 + x2 + -1y2 = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + x2 + 11 + -1y2 = 0 + 11

Reorder the terms:
-11 + 11 + x2 + -1y2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x2 + -1y2 = 0 + 11
x2 + -1y2 = 0 + 11

Combine like terms: 0 + 11 = 11
x2 + -1y2 = 11

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 = 11 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 = 11 + y2
x2 = 11 + y2

Simplifying
x2 = 11 + y2

Reorder the terms:
-11 + x2 + -1y2 = 11 + y2 + -11 + -1y2

Reorder the terms:
-11 + x2 + -1y2 = 11 + -11 + y2 + -1y2

Combine like terms: 11 + -11 = 0
-11 + x2 + -1y2 = 0 + y2 + -1y2
-11 + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-11 + x2 + -1y2 = 0

The solution to this equation could not be determined.

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