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