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Simplifying 6r2t + -3rt2 = 0 Reorder the terms: -3rt2 + 6r2t = 0 Solving -3rt2 + 6r2t = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3rt'. 3rt(-1t + 2r) = 0 Ignore the factor 3.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 '(-1t + 2r)' equal to zero and attempt to solve: Simplifying -1t + 2r = 0 Reorder the terms: 2r + -1t = 0 Solving 2r + -1t = 0 Move all terms containing r to the left, all other terms to the right. Add 't' to each side of the equation. 2r + -1t + t = 0 + t Combine like terms: -1t + t = 0 2r + 0 = 0 + t 2r = 0 + t Remove the zero: 2r = t Divide each side by '2'. r = 0.5t Simplifying r = 0.5tSolution
r = {0.5t}
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