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Simplifying 2rs + -8r + 5s + -7rs + 12r + -5s = 0 Reorder the terms: -8r + 12r + 2rs + -7rs + 5s + -5s = 0 Combine like terms: -8r + 12r = 4r 4r + 2rs + -7rs + 5s + -5s = 0 Combine like terms: 2rs + -7rs = -5rs 4r + -5rs + 5s + -5s = 0 Combine like terms: 5s + -5s = 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) = 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 '(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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