6=x^2+2

Solution for 6=x^2+2 equation:

Simplifying
6 = x2 + 2

Reorder the terms:
6 = 2 + x2

Solving
6 = 2 + 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.
6 + -1x2 = 2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -1x2 = 2 + 0
6 + -1x2 = 2

Add '-6' to each side of the equation.
6 + -6 + -1x2 = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x2 = 2 + -6
-1x2 = 2 + -6

Combine like terms: 2 + -6 = -4
-1x2 = -4

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}