200x^2-100=0

Solution for 200x^2-100=0 equation:

Simplifying
200x2 + -100 = 0

Reorder the terms:
-100 + 200x2 = 0

Solving
-100 + 200x2 = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 200x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 200x2 = 0 + 100
200x2 = 0 + 100

Combine like terms: 0 + 100 = 100
200x2 = 100

Divide each side by '200'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}