6r^2-54=0

Solution for 6r^2-54=0 equation:

Simplifying
6r2 + -54 = 0

Reorder the terms:
-54 + 6r2 = 0

Solving
-54 + 6r2 = 0

Solving for variable 'r'.

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

Add '54' to each side of the equation.
-54 + 54 + 6r2 = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 6r2 = 0 + 54
6r2 = 0 + 54

Combine like terms: 0 + 54 = 54
6r2 = 54

Divide each side by '6'.
r2 = 9

Simplifying
r2 = 9

Take the square root of each side:
r = {-3, 3}