s(t)=2sin(3t)

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Solution for s(t)=2sin(3t) equation:


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) = 0

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 '(-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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