6r^2-69=0

Solution for 6r^2-69=0 equation:

Simplifying
6r2 + -69 = 0

Reorder the terms:
-69 + 6r2 = 0

Solving
-69 + 6r2 = 0

Solving for variable 'r'.

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

Add '69' to each side of the equation.
-69 + 69 + 6r2 = 0 + 69

Combine like terms: -69 + 69 = 0
0 + 6r2 = 0 + 69
6r2 = 0 + 69

Combine like terms: 0 + 69 = 69
6r2 = 69

Divide each side by '6'.
r2 = 11.5

Simplifying
r2 = 11.5

Take the square root of each side:
r = {-3.391164992, 3.391164992}