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Simplifying 4sin2x + 8sinx + 4 = 0 Reorder the terms: 4 + 8insx + 4in2sx = 0 Solving 4 + 8insx + 4in2sx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8insx + -4 + 4in2sx = 0 + -4 Reorder the terms: 4 + -4 + 8insx + 4in2sx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8insx + 4in2sx = 0 + -4 8insx + 4in2sx = 0 + -4 Combine like terms: 0 + -4 = -4 8insx + 4in2sx = -4 Reorder the terms: 4 + 8insx + 4in2sx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 8insx + 4in2sx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 2insx + in2sx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + 2insx + in2sx)' equal to zero and attempt to solve: Simplifying 1 + 2insx + in2sx = 0 Solving 1 + 2insx + in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2insx + -1 + in2sx = 0 + -1 Reorder the terms: 1 + -1 + 2insx + in2sx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2insx + in2sx = 0 + -1 2insx + in2sx = 0 + -1 Combine like terms: 0 + -1 = -1 2insx + in2sx = -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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