3rs-6r+s-7rs+11r-s=

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Solution for 3rs-6r+s-7rs+11r-s= equation:


Simplifying
3rs + -6r + s + -7rs + 11r + -1s = 0

Reorder the terms:
-6r + 11r + 3rs + -7rs + s + -1s = 0

Combine like terms: -6r + 11r = 5r
5r + 3rs + -7rs + s + -1s = 0

Combine like terms: 3rs + -7rs = -4rs
5r + -4rs + s + -1s = 0

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

Solving
5r + -4rs = 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 + -4s) = 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 + -4s)' equal to zero and attempt to solve: Simplifying 5 + -4s = 0 Solving 5 + -4s = 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 + -4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4s = 0 + -5 -4s = 0 + -5 Combine like terms: 0 + -5 = -5 -4s = -5 Add '4s' to each side of the equation. -4s + 4s = -5 + 4s Combine like terms: -4s + 4s = 0 0 = -5 + 4s Simplifying 0 = -5 + 4s 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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