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Simplifying 7sin2x + -14sinx + 2 = -5 Reorder the terms: 2 + -14insx + 7in2sx = -5 Solving 2 + -14insx + 7in2sx = -5 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 + -14insx + -2 + 7in2sx = -5 + -2 Reorder the terms: 2 + -2 + -14insx + 7in2sx = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -14insx + 7in2sx = -5 + -2 -14insx + 7in2sx = -5 + -2 Combine like terms: -5 + -2 = -7 -14insx + 7in2sx = -7 Reorder the terms: 7 + -14insx + 7in2sx = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -14insx + 7in2sx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(1 + -2insx + in2sx) = 0 Ignore the factor 7.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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