2x^2+6=206

Solution for 2x^2+6=206 equation:

Simplifying
2x2 + 6 = 206

Reorder the terms:
6 + 2x2 = 206

Solving
6 + 2x2 = 206

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 = 206 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 206 + -6
2x2 = 206 + -6

Combine like terms: 206 + -6 = 200
2x2 = 200

Divide each side by '2'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}