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Simplifying r2 + 19rs + 90s2 = 0 Reorder the terms: 19rs + r2 + 90s2 = 0 Solving 19rs + r2 + 90s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + 9s)(r + 10s) = 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 + 10s)' equal to zero and attempt to solve: Simplifying r + 10s = 0 Solving r + 10s = 0 Move all terms containing r to the left, all other terms to the right. Add '-10s' to each side of the equation. r + 10s + -10s = 0 + -10s Combine like terms: 10s + -10s = 0 r + 0 = 0 + -10s r = 0 + -10s Remove the zero: r = -10s Simplifying r = -10sSolution
r = {-9s, -10s}
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