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Simplifying 2rs2 + -8rs + -90r = 0 Reorder the terms: -90r + -8rs + 2rs2 = 0 Solving -90r + -8rs + 2rs2 = 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), '2r'. 2r(-45 + -4s + s2) = 0 Factor a trinomial. 2r((-5 + -1s)(9 + -1s)) = 0 Ignore the factor 2.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 '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Add 's' to each side of the equation. -1s + s = 5 + s Combine like terms: -1s + s = 0 0 = 5 + s Simplifying 0 = 5 + 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 '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Add 's' to each side of the equation. -1s + s = -9 + s Combine like terms: -1s + s = 0 0 = -9 + s Simplifying 0 = -9 + 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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