12r^2-75=0

Solution for 12r^2-75=0 equation:

Simplifying
12r2 + -75 = 0

Reorder the terms:
-75 + 12r2 = 0

Solving
-75 + 12r2 = 0

Solving for variable 'r'.

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

Add '75' to each side of the equation.
-75 + 75 + 12r2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 12r2 = 0 + 75
12r2 = 0 + 75

Combine like terms: 0 + 75 = 75
12r2 = 75

Divide each side by '12'.
r2 = 6.25

Simplifying
r2 = 6.25

Take the square root of each side:
r = {-2.5, 2.5}