2r^2-200=0

Solution for 2r^2-200=0 equation:

Simplifying
2r2 + -200 = 0

Reorder the terms:
-200 + 2r2 = 0

Solving
-200 + 2r2 = 0

Solving for variable 'r'.

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

Add '200' to each side of the equation.
-200 + 200 + 2r2 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + 2r2 = 0 + 200
2r2 = 0 + 200

Combine like terms: 0 + 200 = 200
2r2 = 200

Divide each side by '2'.
r2 = 100

Simplifying
r2 = 100

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