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Simplifying 3cos(x + 2) + -2 = -2cos(x + 2) + 1 Reorder the terms: 3cos(2 + x) + -2 = -2cos(x + 2) + 1 (2 * 3cos + x * 3cos) + -2 = -2cos(x + 2) + 1 (6cos + 3cosx) + -2 = -2cos(x + 2) + 1 Reorder the terms: -2 + 6cos + 3cosx = -2cos(x + 2) + 1 Reorder the terms: -2 + 6cos + 3cosx = -2cos(2 + x) + 1 -2 + 6cos + 3cosx = (2 * -2cos + x * -2cos) + 1 -2 + 6cos + 3cosx = (-4cos + -2cosx) + 1 Reorder the terms: -2 + 6cos + 3cosx = 1 + -4cos + -2cosx Solving -2 + 6cos + 3cosx = 1 + -4cos + -2cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4cos' to each side of the equation. -2 + 6cos + 4cos + 3cosx = 1 + -4cos + 4cos + -2cosx Combine like terms: 6cos + 4cos = 10cos -2 + 10cos + 3cosx = 1 + -4cos + 4cos + -2cosx Combine like terms: -4cos + 4cos = 0 -2 + 10cos + 3cosx = 1 + 0 + -2cosx -2 + 10cos + 3cosx = 1 + -2cosx Add '2cosx' to each side of the equation. -2 + 10cos + 3cosx + 2cosx = 1 + -2cosx + 2cosx Combine like terms: 3cosx + 2cosx = 5cosx -2 + 10cos + 5cosx = 1 + -2cosx + 2cosx Combine like terms: -2cosx + 2cosx = 0 -2 + 10cos + 5cosx = 1 + 0 -2 + 10cos + 5cosx = 1 Add '2' to each side of the equation. -2 + 10cos + 2 + 5cosx = 1 + 2 Reorder the terms: -2 + 2 + 10cos + 5cosx = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 10cos + 5cosx = 1 + 2 10cos + 5cosx = 1 + 2 Combine like terms: 1 + 2 = 3 10cos + 5cosx = 3 Reorder the terms: -3 + 10cos + 5cosx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 10cos + 5cosx = 0 The solution to this equation could not be determined.
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