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Simplifying 18r2s + -18rs2 + 30rs = 0 Reorder the terms: 30rs + -18rs2 + 18r2s = 0 Solving 30rs + -18rs2 + 18r2s = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '6rs'. 6rs(5 + -3s + 3r) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'rs' equal to zero and attempt to solve: Simplifying rs = 0 Solving rs = 0 Move all terms containing r to the left, all other terms to the right. Simplifying rs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -3s + 3r)' equal to zero and attempt to solve: Simplifying 5 + -3s + 3r = 0 Reorder the terms: 5 + 3r + -3s = 0 Solving 5 + 3r + -3s = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3r + -5 + -3s = 0 + -5 Reorder the terms: 5 + -5 + 3r + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3r + -3s = 0 + -5 3r + -3s = 0 + -5 Combine like terms: 0 + -5 = -5 3r + -3s = -5 Add '3s' to each side of the equation. 3r + -3s + 3s = -5 + 3s Combine like terms: -3s + 3s = 0 3r + 0 = -5 + 3s 3r = -5 + 3s Divide each side by '3'. r = -1.666666667 + s Simplifying r = -1.666666667 + sSolution
r = {-1.666666667 + s}
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