2r^2-24r=0

Solution for 2r^2-24r=0 equation:

Simplifying
2r2 + -24r = 0

Reorder the terms:
-24r + 2r2 = 0

Solving
-24r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-12 + r) = 0

Ignore the factor 2.
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 '(-12 + r)' equal to zero and attempt to solve:

Simplifying
-12 + r = 0

Solving
-12 + r = 0

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

Add '12' to each side of the equation.
-12 + 12 + r = 0 + 12

Combine like terms: -12 + 12 = 0
0 + r = 0 + 12
r = 0 + 12

Combine like terms: 0 + 12 = 12
r = 12

Simplifying
r = 12
Solution
r = {0, 12}