(X^2-5)=5-X^2

Solution for (X^2-5)=5-X^2 equation:

Simplifying
(X2 + -5) = 5 + -1X2

Reorder the terms:
(-5 + X2) = 5 + -1X2

Remove parenthesis around (-5 + X2)
-5 + X2 = 5 + -1X2

Solving
-5 + X2 = 5 + -1X2

Solving for variable 'X'.

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

Add 'X2' to each side of the equation.
-5 + X2 + X2 = 5 + -1X2 + X2

Combine like terms: X2 + X2 = 2X2
-5 + 2X2 = 5 + -1X2 + X2

Combine like terms: -1X2 + X2 = 0
-5 + 2X2 = 5 + 0
-5 + 2X2 = 5

Add '5' to each side of the equation.
-5 + 5 + 2X2 = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 2X2 = 5 + 5
2X2 = 5 + 5

Combine like terms: 5 + 5 = 10
2X2 = 10

Divide each side by '2'.
X2 = 5

Simplifying
X2 = 5

Take the square root of each side:
X = {-2.236067978, 2.236067978}