4x^2-400=-200

Solution for 4x^2-400=-200 equation:

Simplifying
4x2 + -400 = -200

Reorder the terms:
-400 + 4x2 = -200

Solving
-400 + 4x2 = -200

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 + 4x2 = -200 + 400

Combine like terms: -400 + 400 = 0
0 + 4x2 = -200 + 400
4x2 = -200 + 400

Combine like terms: -200 + 400 = 200
4x2 = 200

Divide each side by '4'.
x2 = 50

Simplifying
x2 = 50

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