3rs-5r+3s-4rs+10r-3s=

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Solution for 3rs-5r+3s-4rs+10r-3s= equation: 


Simplifying
3rs + -5r + 3s + -4rs + 10r + -3s = 0

Reorder the terms:
-5r + 10r + 3rs + -4rs + 3s + -3s = 0

Combine like terms: -5r + 10r = 5r
5r + 3rs + -4rs + 3s + -3s = 0

Combine like terms: 3rs + -4rs = -1rs
5r + -1rs + 3s + -3s = 0

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

Solving
5r + -1rs = 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(5 + -1s) = 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 '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 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 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Add 's' to each side of the equation.
-1s + s = -5 + s

Combine like terms: -1s + s = 0
0 = -5 + s

Simplifying
0 = -5 + s

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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