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Simplifying 10rs + 8r2 = 0 Solving 10rs + 8r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(5s + 4r) = 0 Ignore the factor 2.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 '(5s + 4r)' equal to zero and attempt to solve: Simplifying 5s + 4r = 0 Reorder the terms: 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 = -1.25sSolution
r = {0, -1.25s}
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