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Simplifying 6t2r + -21tr + 27r = 0 Reorder the terms: 27r + -21rt + 6rt2 = 0 Solving 27r + -21rt + 6rt2 = 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), '3r'. 3r(9 + -7t + 2t2) = 0 Ignore the factor 3.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 '(9 + -7t + 2t2)' equal to zero and attempt to solve: Simplifying 9 + -7t + 2t2 = 0 Solving 9 + -7t + 2t2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -7t + -9 + 2t2 = 0 + -9 Reorder the terms: 9 + -9 + -7t + 2t2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7t + 2t2 = 0 + -9 -7t + 2t2 = 0 + -9 Combine like terms: 0 + -9 = -9 -7t + 2t2 = -9 Add '7t' to each side of the equation. -7t + 7t + 2t2 = -9 + 7t Combine like terms: -7t + 7t = 0 0 + 2t2 = -9 + 7t 2t2 = -9 + 7t Add '-2t2' to each side of the equation. 2t2 + -2t2 = -9 + 7t + -2t2 Combine like terms: 2t2 + -2t2 = 0 0 = -9 + 7t + -2t2 Simplifying 0 = -9 + 7t + -2t2 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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