5-x^2-2=x^2-4

Solution for 5-x^2-2=x^2-4 equation:

Simplifying
5 + -1x2 + -2 = x2 + -4

Reorder the terms:
5 + -2 + -1x2 = x2 + -4

Combine like terms: 5 + -2 = 3
3 + -1x2 = x2 + -4

Reorder the terms:
3 + -1x2 = -4 + x2

Solving
3 + -1x2 = -4 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
3 + -1x2 + -1x2 = -4 + x2 + -1x2

Combine like terms: -1x2 + -1x2 = -2x2
3 + -2x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + -2x2 = -4 + 0
3 + -2x2 = -4

Add '-3' to each side of the equation.
3 + -3 + -2x2 = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = -4 + -3
-2x2 = -4 + -3

Combine like terms: -4 + -3 = -7
-2x2 = -7

Divide each side by '-2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}