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Simplifying 3cos(x) + 2sin(x) + -1xsin(x) + xcos(x) = 1 Multiply cos * x 3cosx + 2sin(x) + -1xsin(x) + xcos(x) = 1 Multiply ins * x 3cosx + 2insx + -1xsin(x) + xcos(x) = 1 Multiply insx * x 3cosx + 2insx + -1insx2 + xcos(x) = 1 Multiply cosx * x 3cosx + 2insx + -1insx2 + cosx2 = 1 Reorder the terms: 3cosx + cosx2 + 2insx + -1insx2 = 1 Solving 3cosx + cosx2 + 2insx + -1insx2 = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2insx' to each side of the equation. 3cosx + cosx2 + 2insx + -2insx + -1insx2 = 1 + -2insx Combine like terms: 2insx + -2insx = 0 3cosx + cosx2 + 0 + -1insx2 = 1 + -2insx 3cosx + cosx2 + -1insx2 = 1 + -2insx Add 'insx2' to each side of the equation. 3cosx + cosx2 + -1insx2 + insx2 = 1 + -2insx + insx2 Combine like terms: -1insx2 + insx2 = 0 3cosx + cosx2 + 0 = 1 + -2insx + insx2 3cosx + cosx2 = 1 + -2insx + insx2 Reorder the terms: -1 + 3cosx + cosx2 + 2insx + -1insx2 = 1 + -2insx + insx2 + -1 + 2insx + -1insx2 Reorder the terms: -1 + 3cosx + cosx2 + 2insx + -1insx2 = 1 + -1 + -2insx + 2insx + insx2 + -1insx2 Combine like terms: 1 + -1 = 0 -1 + 3cosx + cosx2 + 2insx + -1insx2 = 0 + -2insx + 2insx + insx2 + -1insx2 -1 + 3cosx + cosx2 + 2insx + -1insx2 = -2insx + 2insx + insx2 + -1insx2 Combine like terms: -2insx + 2insx = 0 -1 + 3cosx + cosx2 + 2insx + -1insx2 = 0 + insx2 + -1insx2 -1 + 3cosx + cosx2 + 2insx + -1insx2 = insx2 + -1insx2 Combine like terms: insx2 + -1insx2 = 0 -1 + 3cosx + cosx2 + 2insx + -1insx2 = 0 The solution to this equation could not be determined.
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