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Simplifying r2 + 15rs + 50s2 = 0 Reorder the terms: 15rs + r2 + 50s2 = 0 Solving 15rs + r2 + 50s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + 5s)(r + 10s) = 0Subproblem 1
Set the factor '(r + 5s)' equal to zero and attempt to solve: Simplifying r + 5s = 0 Solving r + 5s = 0 Move all terms containing r to the left, all other terms to the right. Add '-5s' to each side of the equation. r + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 r + 0 = 0 + -5s r = 0 + -5s Remove the zero: r = -5s Simplifying r = -5sSubproblem 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 = {-5s, -10s}
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