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Simplifying s3 + -1s2 + -12st2 = 0 Reorder the terms: -12st2 + -1s2 + s3 = 0 Solving -12st2 + -1s2 + s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-12t2 + -1s + s2) = 0 Factor a trinomial. s((-3t + -1s)(4t + -1s)) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(-3t + -1s)' equal to zero and attempt to solve: Simplifying -3t + -1s = 0 Reorder the terms: -1s + -3t = 0 Solving -1s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. -1s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 -1s + 0 = 0 + 3t -1s = 0 + 3t Remove the zero: -1s = 3t Divide each side by '-1'. s = -3t Simplifying s = -3tSubproblem 3
Set the factor '(4t + -1s)' equal to zero and attempt to solve: Simplifying 4t + -1s = 0 Reorder the terms: -1s + 4t = 0 Solving -1s + 4t = 0 Move all terms containing s to the left, all other terms to the right. Add '-4t' to each side of the equation. -1s + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 -1s + 0 = 0 + -4t -1s = 0 + -4t Remove the zero: -1s = -4t Divide each side by '-1'. s = 4t Simplifying s = 4tSolution
s = {0, -3t, 4t}
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