R^3=3R

Solution for R^3=3R equation:

Simplifying
R3 = 3R

Solving
R3 = 3R

Solving for variable 'R'.

Reorder the terms:
-3R + R3 = 3R + -3R

Combine like terms: 3R + -3R = 0
-3R + R3 = 0

Factor out the Greatest Common Factor (GCF), 'R'.
R(-3 + R2) = 0

Subproblem 1
Set the factor 'R' equal to zero and attempt to solve:

Simplifying
R = 0

Solving
R = 0

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

Simplifying
R = 0
Subproblem 2
Set the factor '(-3 + R2)' equal to zero and attempt to solve:

Simplifying
-3 + R2 = 0

Solving
-3 + R2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + R2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + R2 = 0 + 3
R2 = 0 + 3

Combine like terms: 0 + 3 = 3
R2 = 3

Simplifying
R2 = 3

Take the square root of each side:
R = {-1.732050808, 1.732050808}
Solution
R = {0, -1.732050808, 1.732050808}