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Simplifying 25rs2 + -10rs + r = 0 Reorder the terms: r + -10rs + 25rs2 = 0 Solving r + -10rs + 25rs2 = 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), 'r'. r(1 + -10s + 25s2) = 0 Factor a trinomial. r((1 + -5s)(1 + -5s)) = 0Subproblem 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 + -5s)' equal to zero and attempt to solve: Simplifying 1 + -5s = 0 Solving 1 + -5s = 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 + -5s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5s = 0 + -1 -5s = 0 + -1 Combine like terms: 0 + -1 = -1 -5s = -1 Add '5s' to each side of the equation. -5s + 5s = -1 + 5s Combine like terms: -5s + 5s = 0 0 = -1 + 5s Simplifying 0 = -1 + 5s 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 '(1 + -5s)' equal to zero and attempt to solve: Simplifying 1 + -5s = 0 Solving 1 + -5s = 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 + -5s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5s = 0 + -1 -5s = 0 + -1 Combine like terms: 0 + -1 = -1 -5s = -1 Add '5s' to each side of the equation. -5s + 5s = -1 + 5s Combine like terms: -5s + 5s = 0 0 = -1 + 5s Simplifying 0 = -1 + 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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