r^2-0.6r=0

Solution for r^2-0.6r=0 equation:

Simplifying
r2 + -0.6r = 0

Reorder the terms:
-0.6r + r2 = 0

Solving
-0.6r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-0.6 + r) = 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 '(-0.6 + r)' equal to zero and attempt to solve:

Simplifying
-0.6 + r = 0

Solving
-0.6 + r = 0

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + r = 0 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + r = 0 + 0.6
r = 0 + 0.6

Combine like terms: 0 + 0.6 = 0.6
r = 0.6

Simplifying
r = 0.6
Solution
r = {0, 0.6}