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Simplifying 18r * 3t * 2 + 12r * 2t * -6r * 27 = 0 Reorder the terms for easier multiplication: 18 * 3 * 2r * t + 12r * 2t * -6r * 27 = 0 Multiply 18 * 3 54 * 2r * t + 12r * 2t * -6r * 27 = 0 Multiply 54 * 2 108r * t + 12r * 2t * -6r * 27 = 0 Multiply r * t 108rt + 12r * 2t * -6r * 27 = 0 Reorder the terms for easier multiplication: 108rt + 12 * 2 * -6 * 27r * t * r = 0 Multiply 12 * 2 108rt + 24 * -6 * 27r * t * r = 0 Multiply 24 * -6 108rt + -144 * 27r * t * r = 0 Multiply -144 * 27 108rt + -3888r * t * r = 0 Multiply r * t 108rt + -3888rt * r = 0 Multiply rt * r 108rt + -3888r2t = 0 Solving 108rt + -3888r2t = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '108rt'. 108rt(1 + -36r) = 0 Ignore the factor 108.Subproblem 1
Set the factor 'rt' equal to zero and attempt to solve: Simplifying rt = 0 Solving rt = 0 Move all terms containing r to the left, all other terms to the right. Simplifying rt = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -36r)' equal to zero and attempt to solve: Simplifying 1 + -36r = 0 Solving 1 + -36r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -36r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -36r = 0 + -1 -36r = 0 + -1 Combine like terms: 0 + -1 = -1 -36r = -1 Divide each side by '-36'. r = 0.02777777778 Simplifying r = 0.02777777778Solution
r = {0.02777777778}
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