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Simplifying 18rs2 + -2r = 0 Reorder the terms: -2r + 18rs2 = 0 Solving -2r + 18rs2 = 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(-1 + 9s2) = 0 Factor a difference between two squares. 2r((1 + 3s)(-1 + 3s)) = 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 '(1 + 3s)' equal to zero and attempt to solve: Simplifying 1 + 3s = 0 Solving 1 + 3s = 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 + 3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3s = 0 + -1 3s = 0 + -1 Combine like terms: 0 + -1 = -1 3s = -1 Add '-3s' to each side of the equation. 3s + -3s = -1 + -3s Combine like terms: 3s + -3s = 0 0 = -1 + -3s Simplifying 0 = -1 + -3s 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 + 3s)' equal to zero and attempt to solve: Simplifying -1 + 3s = 0 Solving -1 + 3s = 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 + 3s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3s = 0 + 1 3s = 0 + 1 Combine like terms: 0 + 1 = 1 3s = 1 Add '-3s' to each side of the equation. 3s + -3s = 1 + -3s Combine like terms: 3s + -3s = 0 0 = 1 + -3s Simplifying 0 = 1 + -3s 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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