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Simplifying 3rs + 9rt + 18ru = 0 Solving 3rs + 9rt + 18ru = 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), '3r'. 3r(s + 3t + 6u) = 0 Ignore the factor 3.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 '(s + 3t + 6u)' equal to zero and attempt to solve: Simplifying s + 3t + 6u = 0 Solving s + 3t + 6u = 0 Move all terms containing r to the left, all other terms to the right. Add '-1s' to each side of the equation. s + 3t + -1s + 6u = 0 + -1s Reorder the terms: s + -1s + 3t + 6u = 0 + -1s Combine like terms: s + -1s = 0 0 + 3t + 6u = 0 + -1s 3t + 6u = 0 + -1s Remove the zero: 3t + 6u = -1s Add '-3t' to each side of the equation. 3t + -3t + 6u = -1s + -3t Combine like terms: 3t + -3t = 0 0 + 6u = -1s + -3t 6u = -1s + -3t Add '-6u' to each side of the equation. 6u + -6u = -1s + -3t + -6u Combine like terms: 6u + -6u = 0 0 = -1s + -3t + -6u Simplifying 0 = -1s + -3t + -6u 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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