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Simplifying 45r2 + -120rs + 80r2 = 0 Reorder the terms: -120rs + 45r2 + 80r2 = 0 Combine like terms: 45r2 + 80r2 = 125r2 -120rs + 125r2 = 0 Solving -120rs + 125r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r'. 5r(-24s + 25r) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(-24s + 25r)' equal to zero and attempt to solve: Simplifying -24s + 25r = 0 Reorder the terms: 25r + -24s = 0 Solving 25r + -24s = 0 Move all terms containing r to the left, all other terms to the right. Add '24s' to each side of the equation. 25r + -24s + 24s = 0 + 24s Combine like terms: -24s + 24s = 0 25r + 0 = 0 + 24s 25r = 0 + 24s Remove the zero: 25r = 24s Divide each side by '25'. r = 0.96s Simplifying r = 0.96sSolution
r = {0, 0.96s}
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