75r^2-192=0

Solution for 75r^2-192=0 equation:

Simplifying
75r2 + -192 = 0

Reorder the terms:
-192 + 75r2 = 0

Solving
-192 + 75r2 = 0

Solving for variable 'r'.

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

Add '192' to each side of the equation.
-192 + 192 + 75r2 = 0 + 192

Combine like terms: -192 + 192 = 0
0 + 75r2 = 0 + 192
75r2 = 0 + 192

Combine like terms: 0 + 192 = 192
75r2 = 192

Divide each side by '75'.
r2 = 2.56

Simplifying
r2 = 2.56

Take the square root of each side:
r = {-1.6, 1.6}