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Simplifying cos4x + -1sin4x = 2cos2x + -1 Reorder the terms: cos4x + -1in4sx = -1 + 2cos2x Solving cos4x + -1in4sx = -1 + 2cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cos2x' to each side of the equation. cos4x + -2cos2x + -1in4sx = -1 + 2cos2x + -2cos2x Reorder the terms: -2cos2x + cos4x + -1in4sx = -1 + 2cos2x + -2cos2x Combine like terms: 2cos2x + -2cos2x = 0 -2cos2x + cos4x + -1in4sx = -1 + 0 -2cos2x + cos4x + -1in4sx = -1 Add 'in4sx' to each side of the equation. -2cos2x + cos4x + -1in4sx + in4sx = -1 + in4sx Combine like terms: -1in4sx + in4sx = 0 -2cos2x + cos4x + 0 = -1 + in4sx -2cos2x + cos4x = -1 + in4sx Reorder the terms: 1 + -2cos2x + cos4x + -1in4sx = -1 + in4sx + 1 + -1in4sx Reorder the terms: 1 + -2cos2x + cos4x + -1in4sx = -1 + 1 + in4sx + -1in4sx Combine like terms: -1 + 1 = 0 1 + -2cos2x + cos4x + -1in4sx = 0 + in4sx + -1in4sx 1 + -2cos2x + cos4x + -1in4sx = in4sx + -1in4sx Combine like terms: in4sx + -1in4sx = 0 1 + -2cos2x + cos4x + -1in4sx = 0 The solution to this equation could not be determined.
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