8r^2=12r

Solution for 8r^2=12r equation:

Simplifying
8r2 = 12r

Solving
8r2 = 12r

Solving for variable 'r'.

Reorder the terms:
-12r + 8r2 = 12r + -12r

Combine like terms: 12r + -12r = 0
-12r + 8r2 = 0

Factor out the Greatest Common Factor (GCF), '4r'.
4r(-3 + 2r) = 0

Ignore the factor 4.
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 + 2r)' equal to zero and attempt to solve:

Simplifying
-3 + 2r = 0

Solving
-3 + 2r = 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 + 2r = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2r = 0 + 3
2r = 0 + 3

Combine like terms: 0 + 3 = 3
2r = 3

Divide each side by '2'.
r = 1.5

Simplifying
r = 1.5
Solution
r = {0, 1.5}