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Simplifying -2r(8t + 5) = 0 Reorder the terms: -2r(5 + 8t) = 0 (5 * -2r + 8t * -2r) = 0 (-10r + -16rt) = 0 Solving -10r + -16rt = 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 + 8t) = 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 + 8t)' equal to zero and attempt to solve: Simplifying 5 + 8t = 0 Solving 5 + 8t = 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 + 8t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8t = 0 + -5 8t = 0 + -5 Combine like terms: 0 + -5 = -5 8t = -5 Add '-8t' to each side of the equation. 8t + -8t = -5 + -8t Combine like terms: 8t + -8t = 0 0 = -5 + -8t Simplifying 0 = -5 + -8t 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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