100r^2-49=0

Solution for 100r^2-49=0 equation:

Simplifying
100r2 + -49 = 0

Reorder the terms:
-49 + 100r2 = 0

Solving
-49 + 100r2 = 0

Solving for variable 'r'.

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

Add '49' to each side of the equation.
-49 + 49 + 100r2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 100r2 = 0 + 49
100r2 = 0 + 49

Combine like terms: 0 + 49 = 49
100r2 = 49

Divide each side by '100'.
r2 = 0.49

Simplifying
r2 = 0.49

Take the square root of each side:
r = {-0.7, 0.7}