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Simplifying 5r3s4 + -10r2s5 = 0 Reorder the terms: -10r2s5 + 5r3s4 = 0 Solving -10r2s5 + 5r3s4 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r2s4'. 5r2s4(-2s + r) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'r2s4' equal to zero and attempt to solve: Simplifying r2s4 = 0 Solving r2s4 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2s4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2s + r)' equal to zero and attempt to solve: Simplifying -2s + r = 0 Reorder the terms: r + -2s = 0 Solving r + -2s = 0 Move all terms containing r to the left, all other terms to the right. Add '2s' to each side of the equation. r + -2s + 2s = 0 + 2s Combine like terms: -2s + 2s = 0 r + 0 = 0 + 2s r = 0 + 2s Remove the zero: r = 2s Simplifying r = 2sSolution
r = {2s}
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