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Simplifying 12rs2t + -8r2st + 16rst2 = 0 Reorder the terms: 16rst2 + 12rs2t + -8r2st = 0 Solving 16rst2 + 12rs2t + -8r2st = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4rst'. 4rst(4t + 3s + -2r) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'rst' equal to zero and attempt to solve: Simplifying rst = 0 Solving rst = 0 Move all terms containing r to the left, all other terms to the right. Simplifying rst = 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 '(4t + 3s + -2r)' equal to zero and attempt to solve: Simplifying 4t + 3s + -2r = 0 Reorder the terms: -2r + 3s + 4t = 0 Solving -2r + 3s + 4t = 0 Move all terms containing r to the left, all other terms to the right. Add '-3s' to each side of the equation. -2r + 3s + -3s + 4t = 0 + -3s Combine like terms: 3s + -3s = 0 -2r + 0 + 4t = 0 + -3s -2r + 4t = 0 + -3s Remove the zero: -2r + 4t = -3s Add '-4t' to each side of the equation. -2r + 4t + -4t = -3s + -4t Combine like terms: 4t + -4t = 0 -2r + 0 = -3s + -4t -2r = -3s + -4t Divide each side by '-2'. r = 1.5s + 2t Simplifying r = 1.5s + 2tSolution
r = {1.5s + 2t}
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