(x^2-5)-3=0

Solution for (x^2-5)-3=0 equation:

Simplifying
(x2 + -5) + -3 = 0

Reorder the terms:
(-5 + x2) + -3 = 0

Remove parenthesis around (-5 + x2)
-5 + x2 + -3 = 0

Reorder the terms:
-5 + -3 + x2 = 0

Combine like terms: -5 + -3 = -8
-8 + x2 = 0

Solving
-8 + x2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = 0 + 8
x2 = 0 + 8

Combine like terms: 0 + 8 = 8
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}