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Simplifying 2r(24x + 13x + 5) = 0 Reorder the terms: 2r(5 + 24x + 13x) = 0 Combine like terms: 24x + 13x = 37x 2r(5 + 37x) = 0 (5 * 2r + 37x * 2r) = 0 (10r + 74rx) = 0 Solving 10r + 74rx = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2r'. 2r(5 + 37x) = 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 '(5 + 37x)' equal to zero and attempt to solve: Simplifying 5 + 37x = 0 Solving 5 + 37x = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 37x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 37x = 0 + -5 37x = 0 + -5 Combine like terms: 0 + -5 = -5 37x = -5 Add '-37x' to each side of the equation. 37x + -37x = -5 + -37x Combine like terms: 37x + -37x = 0 0 = -5 + -37x Simplifying 0 = -5 + -37x 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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