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Simplifying 10r3 + 40r = 0 Reorder the terms: 40r + 10r3 = 0 Solving 40r + 10r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '10r'. 10r(4 + r2) = 0 Ignore the factor 10.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 '(4 + r2)' equal to zero and attempt to solve: Simplifying 4 + r2 = 0 Solving 4 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r2 = 0 + -4 r2 = 0 + -4 Combine like terms: 0 + -4 = -4 r2 = -4 Simplifying r2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
r = {0}
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