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Simplifying 5sin[3(x + 4)] = 0 Reorder the terms: 5ins[3(4 + x)] = 0 5ins[(4 * 3 + x * 3)] = 0 5ins[(12 + 3x)] = 0 [12 * 5ins + 3x * 5ins] = 0 [60ins + 15insx] = 0 Solving 60ins + 15insx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '15ins'. 15ins(4 + x) = 0 Ignore the factor 15.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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -1x 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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