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Simplifying 6r + 9rs + -15rs2 = 0 Solving 6r + 9rs + -15rs2 = 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(2 + 3s + -5s2) = 0 Factor a trinomial. 3r((1 + -1s)(2 + 5s)) = 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 '(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.Subproblem 3
Set the factor '(2 + 5s)' equal to zero and attempt to solve: Simplifying 2 + 5s = 0 Solving 2 + 5s = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5s = 0 + -2 5s = 0 + -2 Combine like terms: 0 + -2 = -2 5s = -2 Add '-5s' to each side of the equation. 5s + -5s = -2 + -5s Combine like terms: 5s + -5s = 0 0 = -2 + -5s Simplifying 0 = -2 + -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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