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Simplifying 2sin2x = 4sinx + 6 Reorder the terms: 2in2sx = 6 + 4insx Solving 2in2sx = 6 + 4insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4insx' to each side of the equation. -4insx + 2in2sx = 6 + 4insx + -4insx Combine like terms: 4insx + -4insx = 0 -4insx + 2in2sx = 6 + 0 -4insx + 2in2sx = 6 Reorder the terms: -6 + -4insx + 2in2sx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -4insx + 2in2sx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -2insx + in2sx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2insx + in2sx)' equal to zero and attempt to solve: Simplifying -3 + -2insx + in2sx = 0 Solving -3 + -2insx + in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2insx + 3 + in2sx = 0 + 3 Reorder the terms: -3 + 3 + -2insx + in2sx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2insx + in2sx = 0 + 3 -2insx + in2sx = 0 + 3 Combine like terms: 0 + 3 = 3 -2insx + in2sx = 3 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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