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Simplifying 0 = -6sin(3t + -1) Reorder the terms: 0 = -6ins(-1 + 3t) 0 = (-1 * -6ins + 3t * -6ins) 0 = (6ins + -18inst) Solving 0 = 6ins + -18inst Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6ins' to each side of the equation. 0 + -6ins = 6ins + -6ins + -18inst Remove the zero: -6ins = 6ins + -6ins + -18inst Combine like terms: 6ins + -6ins = 0 -6ins = 0 + -18inst -6ins = -18inst Add '18inst' to each side of the equation. -6ins + 18inst = -18inst + 18inst Combine like terms: -18inst + 18inst = 0 -6ins + 18inst = 0 Factor out the Greatest Common Factor (GCF), '6ins'. 6ins(-1 + 3t) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 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 '(-1 + 3t)' equal to zero and attempt to solve: Simplifying -1 + 3t = 0 Solving -1 + 3t = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3t = 0 + 1 3t = 0 + 1 Combine like terms: 0 + 1 = 1 3t = 1 Add '-3t' to each side of the equation. 3t + -3t = 1 + -3t Combine like terms: 3t + -3t = 0 0 = 1 + -3t Simplifying 0 = 1 + -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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