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Simplifying Cos(3x) + 2cos(2x) + 6cos(x) + 5 = 0 Remove parenthesis around (3x) osC * 3x + 2cos(2x) + 6cos(x) + 5 = 0 Reorder the terms for easier multiplication: 3osC * x + 2cos(2x) + 6cos(x) + 5 = 0 Multiply osC * x 3osxC + 2cos(2x) + 6cos(x) + 5 = 0 Remove parenthesis around (2x) 3osxC + 2cos * 2x + 6cos(x) + 5 = 0 Reorder the terms for easier multiplication: 3osxC + 2 * 2cos * x + 6cos(x) + 5 = 0 Multiply 2 * 2 3osxC + 4cos * x + 6cos(x) + 5 = 0 Multiply cos * x 3osxC + 4cosx + 6cos(x) + 5 = 0 Multiply cos * x 3osxC + 4cosx + 6cosx + 5 = 0 Reorder the terms: 5 + 4cosx + 6cosx + 3osxC = 0 Combine like terms: 4cosx + 6cosx = 10cosx 5 + 10cosx + 3osxC = 0 Solving 5 + 10cosx + 3osxC = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10cosx + -5 + 3osxC = 0 + -5 Reorder the terms: 5 + -5 + 10cosx + 3osxC = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10cosx + 3osxC = 0 + -5 10cosx + 3osxC = 0 + -5 Combine like terms: 0 + -5 = -5 10cosx + 3osxC = -5 Add '-3osxC' to each side of the equation. 10cosx + 3osxC + -3osxC = -5 + -3osxC Combine like terms: 3osxC + -3osxC = 0 10cosx + 0 = -5 + -3osxC 10cosx = -5 + -3osxC Divide each side by '10osx'. c = -0.5o-1s-1x-1 + -0.3C Simplifying c = -0.5o-1s-1x-1 + -0.3C Reorder the terms: c = -0.3C + -0.5o-1s-1x-1
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