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Simplifying 15r3 + 25r3 + 60r = 0 Reorder the terms: 60r + 15r3 + 25r3 = 0 Combine like terms: 15r3 + 25r3 = 40r3 60r + 40r3 = 0 Solving 60r + 40r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '20r'. 20r(3 + 2r2) = 0 Ignore the factor 20.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 '(3 + 2r2)' equal to zero and attempt to solve: Simplifying 3 + 2r2 = 0 Solving 3 + 2r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2r2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2r2 = 0 + -3 2r2 = 0 + -3 Combine like terms: 0 + -3 = -3 2r2 = -3 Divide each side by '2'. r2 = -1.5 Simplifying r2 = -1.5 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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