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Simplifying r2 + -10rs + 9s2 = 0 Reorder the terms: -10rs + r2 + 9s2 = 0 Solving -10rs + r2 + 9s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + -9s)(r + -1s) = 0Subproblem 1
Set the factor '(r + -9s)' equal to zero and attempt to solve: Simplifying r + -9s = 0 Solving r + -9s = 0 Move all terms containing r to the left, all other terms to the right. Add '9s' to each side of the equation. r + -9s + 9s = 0 + 9s Combine like terms: -9s + 9s = 0 r + 0 = 0 + 9s r = 0 + 9s Remove the zero: r = 9s Simplifying r = 9sSubproblem 2
Set the factor '(r + -1s)' equal to zero and attempt to solve: Simplifying r + -1s = 0 Solving r + -1s = 0 Move all terms containing r to the left, all other terms to the right. Add 's' to each side of the equation. r + -1s + s = 0 + s Combine like terms: -1s + s = 0 r + 0 = 0 + s r = 0 + s Remove the zero: r = s Simplifying r = sSolution
r = {9s, s}
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