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Simplifying 4r * 5 = 5r * t Reorder the terms for easier multiplication: 4 * 5r = 5r * t Multiply 4 * 5 20r = 5r * t Multiply r * t 20r = 5rt Solving 20r = 5rt Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5rt' to each side of the equation. 20r + -5rt = 5rt + -5rt Combine like terms: 5rt + -5rt = 0 20r + -5rt = 0 Factor out the Greatest Common Factor (GCF), '5r'. 5r(4 + -1t) = 0 Ignore the factor 5.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 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 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 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Add 't' to each side of the equation. -1t + t = -4 + t Combine like terms: -1t + t = 0 0 = -4 + t Simplifying 0 = -4 + t 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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