2rs-10r+3s-7rs+13r-3s=

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Solution for 2rs-10r+3s-7rs+13r-3s= equation: 


Simplifying
2rs + -10r + 3s + -7rs + 13r + -3s = 0

Reorder the terms:
-10r + 13r + 2rs + -7rs + 3s + -3s = 0

Combine like terms: -10r + 13r = 3r
3r + 2rs + -7rs + 3s + -3s = 0

Combine like terms: 2rs + -7rs = -5rs
3r + -5rs + 3s + -3s = 0

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

Solving
3r + -5rs = 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), 'r'.
r(3 + -5s) = 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 '(3 + -5s)' equal to zero and attempt to solve:

Simplifying
3 + -5s = 0

Solving
3 + -5s = 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 + -5s = 0 + -3

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

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

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

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

Simplifying
0 = -3 + 5s

The solution to this equation could not be determined.

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

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