R(r*1+r*2)=r*1r*2

Solution for R(r*1+r*2)=r*1r*2 equation:

Simplifying
R(r * 1 + r * 2) = r * 1r * 2

Reorder the terms for easier multiplication:
R(1r + r * 2) = r * 1r * 2

Reorder the terms for easier multiplication:
R(1r + 2r) = r * 1r * 2

Combine like terms: 1r + 2r = 3r
R(3r) = r * 1r * 2

Remove parenthesis around (3r)
R * 3r = r * 1r * 2

Reorder the terms for easier multiplication:
3R * r = r * 1r * 2

Multiply R * r
3rR = r * 1r * 2

Reorder the terms for easier multiplication:
3rR = 1 * 2r * r

Multiply 1 * 2
3rR = 2r * r

Multiply r * r
3rR = 2r2

Solving
3rR = 2r2

Solving for variable 'r'.

Combine like terms: 2r2 + -2r2 = 0
3rR + -2r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(3R + -2r) = 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 '(3R + -2r)' equal to zero and attempt to solve:

Simplifying
3R + -2r = 0

Solving
3R + -2r = 0

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

Add '-3R' to each side of the equation.
3R + -3R + -2r = 0 + -3R

Combine like terms: 3R + -3R = 0
0 + -2r = 0 + -3R
-2r = 0 + -3R
Remove the zero:
-2r = -3R

Divide each side by '-2'.
r = 1.5R

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