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Simplifying 4s2t + -5st2 + s2t + -15st3 = 0 Reorder the terms: -5st2 + -15st3 + 4s2t + s2t = 0 Combine like terms: 4s2t + s2t = 5s2t -5st2 + -15st3 + 5s2t = 0 Solving -5st2 + -15st3 + 5s2t = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5st'. 5st(-1t + -3t2 + s) = 0 Ignore the factor 5.Subproblem 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 '(-1t + -3t2 + s)' equal to zero and attempt to solve: Simplifying -1t + -3t2 + s = 0 Reorder the terms: s + -1t + -3t2 = 0 Solving s + -1t + -3t2 = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. s + -1t + t + -3t2 = 0 + t Combine like terms: -1t + t = 0 s + 0 + -3t2 = 0 + t s + -3t2 = 0 + t Remove the zero: s + -3t2 = t Add '3t2' to each side of the equation. s + -3t2 + 3t2 = t + 3t2 Combine like terms: -3t2 + 3t2 = 0 s + 0 = t + 3t2 s = t + 3t2 Simplifying s = t + 3t2Solution
s = {t + 3t2}
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