2rs-7r+5s-5rs+8r-5s=

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Solution for 2rs-7r+5s-5rs+8r-5s= equation: 


Simplifying
2rs + -7r + 5s + -5rs + 8r + -5s = 0

Reorder the terms:
-7r + 8r + 2rs + -5rs + 5s + -5s = 0

Combine like terms: -7r + 8r = 1r
1r + 2rs + -5rs + 5s + -5s = 0

Combine like terms: 2rs + -5rs = -3rs
1r + -3rs + 5s + -5s = 0

Combine like terms: 5s + -5s = 0
1r + -3rs + 0 = 0
1r + -3rs = 0

Solving
1r + -3rs = 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(1 + -3s) = 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 '(1 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

Solving
1 + -3s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3s = 0 + -1
-3s = 0 + -1

Combine like terms: 0 + -1 = -1
-3s = -1

Add '3s' to each side of the equation.
-3s + 3s = -1 + 3s

Combine like terms: -3s + 3s = 0
0 = -1 + 3s

Simplifying
0 = -1 + 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}

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