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Simplifying -3rt(-2t2 + 3r) = 0 Reorder the terms: -3rt(3r + -2t2) = 0 (3r * -3rt + -2t2 * -3rt) = 0 Reorder the terms: (6rt3 + -9r2t) = 0 (6rt3 + -9r2t) = 0 Solving 6rt3 + -9r2t = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3rt'. 3rt(2t2 + -3r) = 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 '(2t2 + -3r)' equal to zero and attempt to solve: Simplifying 2t2 + -3r = 0 Reorder the terms: -3r + 2t2 = 0 Solving -3r + 2t2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2t2' to each side of the equation. -3r + 2t2 + -2t2 = 0 + -2t2 Combine like terms: 2t2 + -2t2 = 0 -3r + 0 = 0 + -2t2 -3r = 0 + -2t2 Remove the zero: -3r = -2t2 Divide each side by '-3'. r = 0.6666666667t2 Simplifying r = 0.6666666667t2Solution
r = {0.6666666667t2}
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