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Simplifying 2rs + -8r + s + -7rs + 10r + -1s = 0 Reorder the terms: -8r + 10r + 2rs + -7rs + s + -1s = 0 Combine like terms: -8r + 10r = 2r 2r + 2rs + -7rs + s + -1s = 0 Combine like terms: 2rs + -7rs = -5rs 2r + -5rs + s + -1s = 0 Combine like terms: s + -1s = 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) = 0Subproblem 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 = 0Subproblem 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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