54=(1.5)*r^2

Solution for 54=(1.5)*r^2 equation:

Simplifying
54 = (1.5) * r2

Solving
54 = 1.5r2

Solving for variable 'r'.

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

Add '-1.5r2' to each side of the equation.
54 + -1.5r2 = 1.5r2 + -1.5r2

Combine like terms: 1.5r2 + -1.5r2 = 0.0
54 + -1.5r2 = 0.0

Add '-54' to each side of the equation.
54 + -54 + -1.5r2 = 0.0 + -54

Combine like terms: 54 + -54 = 0
0 + -1.5r2 = 0.0 + -54
-1.5r2 = 0.0 + -54

Combine like terms: 0.0 + -54 = -54
-1.5r2 = -54

Divide each side by '-1.5'.
r2 = 36

Simplifying
r2 = 36

Take the square root of each side:
r = {-6, 6}