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

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

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

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

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

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

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

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

Combine like terms: x2 + -5x2 = -4x2
-1 + -4x2 + y2 + 1y2 = 0

Combine like terms: y2 + 1y2 = 2y2
-1 + -4x2 + 2y2 = 0

Solving
-1 + -4x2 + 2y2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + -4x2 + 1 + 2y2 = 0 + 1

Reorder the terms:
-1 + 1 + -4x2 + 2y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x2 + 2y2 = 0 + 1
-4x2 + 2y2 = 0 + 1

Combine like terms: 0 + 1 = 1
-4x2 + 2y2 = 1

Add '-2y2' to each side of the equation.
-4x2 + 2y2 + -2y2 = 1 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-4x2 + 0 = 1 + -2y2
-4x2 = 1 + -2y2

Divide each side by '-4'.
x2 = -0.25 + 0.5y2

Simplifying
x2 = -0.25 + 0.5y2

Reorder the terms:
0.25 + x2 + -0.5y2 = -0.25 + 0.5y2 + 0.25 + -0.5y2

Reorder the terms:
0.25 + x2 + -0.5y2 = -0.25 + 0.25 + 0.5y2 + -0.5y2

Combine like terms: -0.25 + 0.25 = 0.00
0.25 + x2 + -0.5y2 = 0.00 + 0.5y2 + -0.5y2
0.25 + x2 + -0.5y2 = 0.5y2 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
0.25 + x2 + -0.5y2 = 0.0

The solution to this equation could not be determined.