2x^2+6=106

Solution for 2x^2+6=106 equation:

Simplifying
2x2 + 6 = 106

Reorder the terms:
6 + 2x2 = 106

Solving
6 + 2x2 = 106

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 106 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 106 + -6
2x2 = 106 + -6

Combine like terms: 106 + -6 = 100
2x2 = 100

Divide each side by '2'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}