-16r^2+196=0

Solution for -16r^2+196=0 equation:

Simplifying
-16r2 + 196 = 0

Reorder the terms:
196 + -16r2 = 0

Solving
196 + -16r2 = 0

Solving for variable 'r'.

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

Add '-196' to each side of the equation.
196 + -196 + -16r2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -16r2 = 0 + -196
-16r2 = 0 + -196

Combine like terms: 0 + -196 = -196
-16r2 = -196

Divide each side by '-16'.
r2 = 12.25

Simplifying
r2 = 12.25

Take the square root of each side:
r = {-3.5, 3.5}