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Simplifying 3s2t + -9s3t + 12s2t2 = 0 Reorder the terms: 3s2t + 12s2t2 + -9s3t = 0 Solving 3s2t + 12s2t2 + -9s3t = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s2t'. 3s2t(1 + 4t + -3s) = 0 Ignore the factor 3.Subproblem 1
Set the factor 's2t' equal to zero and attempt to solve: Simplifying s2t = 0 Solving s2t = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2t = 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 '(1 + 4t + -3s)' equal to zero and attempt to solve: Simplifying 1 + 4t + -3s = 0 Reorder the terms: 1 + -3s + 4t = 0 Solving 1 + -3s + 4t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3s + -1 + 4t = 0 + -1 Reorder the terms: 1 + -1 + -3s + 4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3s + 4t = 0 + -1 -3s + 4t = 0 + -1 Combine like terms: 0 + -1 = -1 -3s + 4t = -1 Add '-4t' to each side of the equation. -3s + 4t + -4t = -1 + -4t Combine like terms: 4t + -4t = 0 -3s + 0 = -1 + -4t -3s = -1 + -4t Divide each side by '-3'. s = 0.3333333333 + 1.333333333t Simplifying s = 0.3333333333 + 1.333333333tSolution
s = {0.3333333333 + 1.333333333t}
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