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Simplifying 0 = 4sin(12x + 90) + -2 Reorder the terms: 0 = 4ins(90 + 12x) + -2 0 = (90 * 4ins + 12x * 4ins) + -2 0 = (360ins + 48insx) + -2 Reorder the terms: 0 = -2 + 360ins + 48insx Solving 0 = -2 + 360ins + 48insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-360ins' to each side of the equation. 0 + -360ins = -2 + 360ins + -360ins + 48insx Remove the zero: -360ins = -2 + 360ins + -360ins + 48insx Combine like terms: 360ins + -360ins = 0 -360ins = -2 + 0 + 48insx -360ins = -2 + 48insx Add '-48insx' to each side of the equation. -360ins + -48insx = -2 + 48insx + -48insx Combine like terms: 48insx + -48insx = 0 -360ins + -48insx = -2 + 0 -360ins + -48insx = -2 Reorder the terms: 2 + -360ins + -48insx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -360ins + -48insx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -180ins + -24insx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -180ins + -24insx)' equal to zero and attempt to solve: Simplifying 1 + -180ins + -24insx = 0 Solving 1 + -180ins + -24insx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -180ins + -1 + -24insx = 0 + -1 Reorder the terms: 1 + -1 + -180ins + -24insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -180ins + -24insx = 0 + -1 -180ins + -24insx = 0 + -1 Combine like terms: 0 + -1 = -1 -180ins + -24insx = -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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