2rs-6r+4s-7rs+10r-4s=

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Solution for 2rs-6r+4s-7rs+10r-4s= equation: 


Simplifying
2rs + -6r + 4s + -7rs + 10r + -4s = 0

Reorder the terms:
-6r + 10r + 2rs + -7rs + 4s + -4s = 0

Combine like terms: -6r + 10r = 4r
4r + 2rs + -7rs + 4s + -4s = 0

Combine like terms: 2rs + -7rs = -5rs
4r + -5rs + 4s + -4s = 0

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

Solving
4r + -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(4 + -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 '(4 + -5s)' equal to zero and attempt to solve:

Simplifying
4 + -5s = 0

Solving
4 + -5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5s = 0 + -4
-5s = 0 + -4

Combine like terms: 0 + -4 = -4
-5s = -4

Add '5s' to each side of the equation.
-5s + 5s = -4 + 5s

Combine like terms: -5s + 5s = 0
0 = -4 + 5s

Simplifying
0 = -4 + 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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