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Simplifying 20s2 + 11sr + -3r2 = 0 Reorder the terms: 11rs + -3r2 + 20s2 = 0 Solving 11rs + -3r2 + 20s2 = 0 Solving for variable 'r'. Factor a trinomial. (-3r + -4s)(r + -5s) = 0Subproblem 1
Set the factor '(-3r + -4s)' equal to zero and attempt to solve: Simplifying -3r + -4s = 0 Solving -3r + -4s = 0 Move all terms containing r to the left, all other terms to the right. Add '4s' to each side of the equation. -3r + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 -3r + 0 = 0 + 4s -3r = 0 + 4s Remove the zero: -3r = 4s Divide each side by '-3'. r = -1.333333333s Simplifying r = -1.333333333sSubproblem 2
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 = 5sSolution
r = {-1.333333333s, 5s}
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