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Simplifying 12s4t + 20s3t + -8s2t = 0 Reorder the terms: -8s2t + 20s3t + 12s4t = 0 Solving -8s2t + 20s3t + 12s4t = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s2t'. 4s2t(-2 + 5s + 3s2) = 0 Factor a trinomial. 4s2t((-2 + -1s)(1 + -3s)) = 0 Ignore the factor 4.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 '(-2 + -1s)' equal to zero and attempt to solve: Simplifying -2 + -1s = 0 Solving -2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1s = 0 + 2 -1s = 0 + 2 Combine like terms: 0 + 2 = 2 -1s = 2 Divide each side by '-1'. s = -2 Simplifying s = -2Subproblem 3
Set the factor '(1 + -3s)' equal to zero and attempt to solve: Simplifying 1 + -3s = 0 Solving 1 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3s = 0 + -1 -3s = 0 + -1 Combine like terms: 0 + -1 = -1 -3s = -1 Divide each side by '-3'. s = 0.3333333333 Simplifying s = 0.3333333333Solution
s = {-2, 0.3333333333}
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