2x^2+6=102

Solution for 2x^2+6=102 equation:

Simplifying
2x2 + 6 = 102

Reorder the terms:
6 + 2x2 = 102

Solving
6 + 2x2 = 102

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 = 102 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 102 + -6
2x2 = 102 + -6

Combine like terms: 102 + -6 = 96
2x2 = 96

Divide each side by '2'.
x2 = 48

Simplifying
x2 = 48

Take the square root of each side:
x = {-6.92820323, 6.92820323}