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Simplifying 6rs2 + 3rs2 + -2r2s = 0 Combine like terms: 6rs2 + 3rs2 = 9rs2 9rs2 + -2r2s = 0 Solving 9rs2 + -2r2s = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'rs'. rs(9s + -2r) = 0Subproblem 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 '(9s + -2r)' equal to zero and attempt to solve: Simplifying 9s + -2r = 0 Reorder the terms: -2r + 9s = 0 Solving -2r + 9s = 0 Move all terms containing r to the left, all other terms to the right. Add '-9s' to each side of the equation. -2r + 9s + -9s = 0 + -9s Combine like terms: 9s + -9s = 0 -2r + 0 = 0 + -9s -2r = 0 + -9s Remove the zero: -2r = -9s Divide each side by '-2'. r = 4.5s Simplifying r = 4.5sSolution
r = {4.5s}
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