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Simplifying 20s2 + -9sr + -20r2 = 0 Reorder the terms: -9rs + -20r2 + 20s2 = 0 Solving -9rs + -20r2 + 20s2 = 0 Solving for variable 'r'. Factor a trinomial. (-4r + -5s)(5r + -4s) = 0Subproblem 1
Set the factor '(-4r + -5s)' equal to zero and attempt to solve: Simplifying -4r + -5s = 0 Solving -4r + -5s = 0 Move all terms containing r to the left, all other terms to the right. Add '5s' to each side of the equation. -4r + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 -4r + 0 = 0 + 5s -4r = 0 + 5s Remove the zero: -4r = 5s Divide each side by '-4'. r = -1.25s Simplifying r = -1.25sSubproblem 2
Set the factor '(5r + -4s)' equal to zero and attempt to solve: Simplifying 5r + -4s = 0 Solving 5r + -4s = 0 Move all terms containing r to the left, all other terms to the right. Add '4s' to each side of the equation. 5r + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 5r + 0 = 0 + 4s 5r = 0 + 4s Remove the zero: 5r = 4s Divide each side by '5'. r = 0.8s Simplifying r = 0.8sSolution
r = {-1.25s, 0.8s}
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