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Simplifying 5sin(3x + 30) + 8 = 3 Reorder the terms: 5ins(30 + 3x) + 8 = 3 (30 * 5ins + 3x * 5ins) + 8 = 3 (150ins + 15insx) + 8 = 3 Reorder the terms: 8 + 150ins + 15insx = 3 Solving 8 + 150ins + 15insx = 3 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 150ins + -8 + 15insx = 3 + -8 Reorder the terms: 8 + -8 + 150ins + 15insx = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 150ins + 15insx = 3 + -8 150ins + 15insx = 3 + -8 Combine like terms: 3 + -8 = -5 150ins + 15insx = -5 Reorder the terms: 5 + 150ins + 15insx = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 150ins + 15insx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 30ins + 3insx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + 30ins + 3insx)' equal to zero and attempt to solve: Simplifying 1 + 30ins + 3insx = 0 Solving 1 + 30ins + 3insx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 30ins + -1 + 3insx = 0 + -1 Reorder the terms: 1 + -1 + 30ins + 3insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 30ins + 3insx = 0 + -1 30ins + 3insx = 0 + -1 Combine like terms: 0 + -1 = -1 30ins + 3insx = -1 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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