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Simplifying -42rst + 66r2s + -12rs2t = 0 Reorder the terms: -42rst + -12rs2t + 66r2s = 0 Solving -42rst + -12rs2t + 66r2s = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '6rs'. 6rs(-7t + -2st + 11r) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'rs' equal to zero and attempt to solve: Simplifying rs = 0 Solving rs = 0 Move all terms containing r to the left, all other terms to the right. Simplifying rs = 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 '(-7t + -2st + 11r)' equal to zero and attempt to solve: Simplifying -7t + -2st + 11r = 0 Reorder the terms: 11r + -2st + -7t = 0 Solving 11r + -2st + -7t = 0 Move all terms containing r to the left, all other terms to the right. Add '2st' to each side of the equation. 11r + -2st + 2st + -7t = 0 + 2st Combine like terms: -2st + 2st = 0 11r + 0 + -7t = 0 + 2st 11r + -7t = 0 + 2st Remove the zero: 11r + -7t = 2st Add '7t' to each side of the equation. 11r + -7t + 7t = 2st + 7t Combine like terms: -7t + 7t = 0 11r + 0 = 2st + 7t 11r = 2st + 7t Divide each side by '11'. r = 0.1818181818st + 0.6363636364t Simplifying r = 0.1818181818st + 0.6363636364tSolution
r = {0.1818181818st + 0.6363636364t}
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