75r^2-12=0

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

Simplifying
75r2 + -12 = 0

Reorder the terms:
-12 + 75r2 = 0

Solving
-12 + 75r2 = 0

Solving for variable 'r'.

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

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

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

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

Divide each side by '75'.
r2 = 0.16

Simplifying
r2 = 0.16

Take the square root of each side:
r = {-0.4, 0.4}