74=x^2+2

Solution for 74=x^2+2 equation:

Simplifying
74 = x2 + 2

Reorder the terms:
74 = 2 + x2

Solving
74 = 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.
74 + -1x2 = 2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
74 + -1x2 = 2 + 0
74 + -1x2 = 2

Add '-74' to each side of the equation.
74 + -74 + -1x2 = 2 + -74

Combine like terms: 74 + -74 = 0
0 + -1x2 = 2 + -74
-1x2 = 2 + -74

Combine like terms: 2 + -74 = -72
-1x2 = -72

Divide each side by '-1'.
x2 = 72

Simplifying
x2 = 72

Take the square root of each side:
x = {-8.485281374, 8.485281374}