(x^2-3)-3(x^2-3)-5=0

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

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

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

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

Reorder the terms:
-3 + x2 + -3(-3 + x2) + -5 = 0
-3 + x2 + (-3 * -3 + x2 * -3) + -5 = 0
-3 + x2 + (9 + -3x2) + -5 = 0

Reorder the terms:
-3 + 9 + -5 + x2 + -3x2 = 0

Combine like terms: -3 + 9 = 6
6 + -5 + x2 + -3x2 = 0

Combine like terms: 6 + -5 = 1
1 + x2 + -3x2 = 0

Combine like terms: x2 + -3x2 = -2x2
1 + -2x2 = 0

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

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

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

Divide each side by '-2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}