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Simplifying s(t) = 2sin(3t) Multiply s * t st = 2sin(3t) Remove parenthesis around (3t) st = 2ins * 3t Reorder the terms for easier multiplication: st = 2 * 3ins * t Multiply 2 * 3 st = 6ins * t Multiply ins * t st = 6inst Solving st = 6inst Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6inst' to each side of the equation. -6inst + st = 6inst + -6inst Combine like terms: 6inst + -6inst = 0 -6inst + st = 0 Factor out the Greatest Common Factor (GCF), 'st'. st(-6in + 1) = 0Subproblem 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 '(-6in + 1)' equal to zero and attempt to solve: Simplifying -6in + 1 = 0 Reorder the terms: 1 + -6in = 0 Solving 1 + -6in = 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 + -6in = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6in = 0 + -1 -6in = 0 + -1 Combine like terms: 0 + -1 = -1 -6in = -1 Add '6in' to each side of the equation. -6in + 6in = -1 + 6in Combine like terms: -6in + 6in = 0 0 = -1 + 6in Simplifying 0 = -1 + 6in 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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