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Simplifying r2 + -6rs + 9s2 = 0 Reorder the terms: -6rs + r2 + 9s2 = 0 Solving -6rs + r2 + 9s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + -3s)(r + -3s) = 0Subproblem 1
Set the factor '(r + -3s)' equal to zero and attempt to solve: Simplifying r + -3s = 0 Solving r + -3s = 0 Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. r + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 r + 0 = 0 + 3s r = 0 + 3s Remove the zero: r = 3s Simplifying r = 3sSubproblem 2
Set the factor '(r + -3s)' equal to zero and attempt to solve: Simplifying r + -3s = 0 Solving r + -3s = 0 Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. r + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 r + 0 = 0 + 3s r = 0 + 3s Remove the zero: r = 3s Simplifying r = 3sSolution
r = {3s, 3s}
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