2*x^2-400=0

Solution for 2*x^2-400=0 equation:

Simplifying
2x2 + -400 = 0

Reorder the terms:
-400 + 2x2 = 0

Solving
-400 + 2x2 = 0

Solving for variable 'x'.

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

Add '400' to each side of the equation.
-400 + 400 + 2x2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + 2x2 = 0 + 400
2x2 = 0 + 400

Combine like terms: 0 + 400 = 400
2x2 = 400

Divide each side by '2'.
x2 = 200

Simplifying
x2 = 200

Take the square root of each side:
x = {-14.142135624, 14.142135624}