75r^2-27=0

Solution for 75r^2-27=0 equation:

Simplifying
75r2 + -27 = 0

Reorder the terms:
-27 + 75r2 = 0

Solving
-27 + 75r2 = 0

Solving for variable 'r'.

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

Add '27' to each side of the equation.
-27 + 27 + 75r2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 75r2 = 0 + 27
75r2 = 0 + 27

Combine like terms: 0 + 27 = 27
75r2 = 27

Divide each side by '75'.
r2 = 0.36

Simplifying
r2 = 0.36

Take the square root of each side:
r = {-0.6, 0.6}