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Simplifying 5s2t + -3s2t(t + -1) = 0 Reorder the terms: 5s2t + -3s2t(-1 + t) = 0 5s2t + (-1 * -3s2t + t * -3s2t) = 0 5s2t + (3s2t + -3s2t2) = 0 Combine like terms: 5s2t + 3s2t = 8s2t 8s2t + -3s2t2 = 0 Solving 8s2t + -3s2t2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 's2t'. s2t(8 + -3t) = 0Subproblem 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 '(8 + -3t)' equal to zero and attempt to solve: Simplifying 8 + -3t = 0 Solving 8 + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = 0 + -8 -3t = 0 + -8 Combine like terms: 0 + -8 = -8 -3t = -8 Add '3t' to each side of the equation. -3t + 3t = -8 + 3t Combine like terms: -3t + 3t = 0 0 = -8 + 3t Simplifying 0 = -8 + 3t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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