2r(3s-5)=

Solution for 2r(3s-5)= equation:

Simplifying
2r(3s + -5) = 0

Reorder the terms:
2r(-5 + 3s) = 0
(-5 * 2r + 3s * 2r) = 0
(-10r + 6rs) = 0

Solving
-10r + 6rs = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-5 + 3s) = 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 '(-5 + 3s)' equal to zero and attempt to solve:

Simplifying
-5 + 3s = 0

Solving
-5 + 3s = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3s = 0 + 5
3s = 0 + 5

Combine like terms: 0 + 5 = 5
3s = 5

Add '-3s' to each side of the equation.
3s + -3s = 5 + -3s

Combine like terms: 3s + -3s = 0
0 = 5 + -3s

Simplifying
0 = 5 + -3s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}