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Simplifying 2cos(3x) + 2cos(2x) + 2cos(x) + 1 = 0 Remove parenthesis around (3x) 2cos * 3x + 2cos(2x) + 2cos(x) + 1 = 0 Reorder the terms for easier multiplication: 2 * 3cos * x + 2cos(2x) + 2cos(x) + 1 = 0 Multiply 2 * 3 6cos * x + 2cos(2x) + 2cos(x) + 1 = 0 Multiply cos * x 6cosx + 2cos(2x) + 2cos(x) + 1 = 0 Remove parenthesis around (2x) 6cosx + 2cos * 2x + 2cos(x) + 1 = 0 Reorder the terms for easier multiplication: 6cosx + 2 * 2cos * x + 2cos(x) + 1 = 0 Multiply 2 * 2 6cosx + 4cos * x + 2cos(x) + 1 = 0 Multiply cos * x 6cosx + 4cosx + 2cos(x) + 1 = 0 Multiply cos * x 6cosx + 4cosx + 2cosx + 1 = 0 Reorder the terms: 1 + 6cosx + 4cosx + 2cosx = 0 Combine like terms: 6cosx + 4cosx = 10cosx 1 + 10cosx + 2cosx = 0 Combine like terms: 10cosx + 2cosx = 12cosx 1 + 12cosx = 0 Solving 1 + 12cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12cosx = 0 + -1 12cosx = 0 + -1 Combine like terms: 0 + -1 = -1 12cosx = -1 Divide each side by '12osx'. c = -0.08333333333o-1s-1x-1 Simplifying c = -0.08333333333o-1s-1x-1
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