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Simplifying 2st2 + 3s2t + -4st2 + 14s2t = 0 Reorder the terms: 2st2 + -4st2 + 3s2t + 14s2t = 0 Combine like terms: 2st2 + -4st2 = -2st2 -2st2 + 3s2t + 14s2t = 0 Combine like terms: 3s2t + 14s2t = 17s2t -2st2 + 17s2t = 0 Solving -2st2 + 17s2t = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 'st'. st(-2t + 17s) = 0Subproblem 1
Set the factor 'st' equal to zero and attempt to solve: Simplifying st = 0 Solving st = 0 Move all terms containing s to the left, all other terms to the right. Simplifying st = 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 '(-2t + 17s)' equal to zero and attempt to solve: Simplifying -2t + 17s = 0 Reorder the terms: 17s + -2t = 0 Solving 17s + -2t = 0 Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. 17s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 17s + 0 = 0 + 2t 17s = 0 + 2t Remove the zero: 17s = 2t Divide each side by '17'. s = 0.1176470588t Simplifying s = 0.1176470588tSolution
s = {0.1176470588t}
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