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Simplifying 3rs + -6r + s + -7rs + 10r + -1s = 0 Reorder the terms: -6r + 10r + 3rs + -7rs + s + -1s = 0 Combine like terms: -6r + 10r = 4r 4r + 3rs + -7rs + s + -1s = 0 Combine like terms: 3rs + -7rs = -4rs 4r + -4rs + s + -1s = 0 Combine like terms: s + -1s = 0 4r + -4rs + 0 = 0 4r + -4rs = 0 Solving 4r + -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), '4r'. 4r(1 + -1s) = 0 Ignore the factor 4.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 = 0Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Add 's' to each side of the equation. -1s + s = -1 + s Combine like terms: -1s + s = 0 0 = -1 + s Simplifying 0 = -1 + 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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