3rs-12r+5s-8rs+14r-5s=

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Solution for 3rs-12r+5s-8rs+14r-5s= equation: 


Simplifying
3rs + -12r + 5s + -8rs + 14r + -5s = 0

Reorder the terms:
-12r + 14r + 3rs + -8rs + 5s + -5s = 0

Combine like terms: -12r + 14r = 2r
2r + 3rs + -8rs + 5s + -5s = 0

Combine like terms: 3rs + -8rs = -5rs
2r + -5rs + 5s + -5s = 0

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

Solving
2r + -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(2 + -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 '(2 + -5s)' equal to zero and attempt to solve:

Simplifying
2 + -5s = 0

Solving
2 + -5s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5s = 0 + -2
-5s = 0 + -2

Combine like terms: 0 + -2 = -2
-5s = -2

Add '5s' to each side of the equation.
-5s + 5s = -2 + 5s

Combine like terms: -5s + 5s = 0
0 = -2 + 5s

Simplifying
0 = -2 + 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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