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Simplifying cos(3x) + 2cos(2x) + -5cos(x) + -6 = 0 Remove parenthesis around (3x) cos * 3x + 2cos(2x) + -5cos(x) + -6 = 0 Reorder the terms for easier multiplication: 3cos * x + 2cos(2x) + -5cos(x) + -6 = 0 Multiply cos * x 3cosx + 2cos(2x) + -5cos(x) + -6 = 0 Remove parenthesis around (2x) 3cosx + 2cos * 2x + -5cos(x) + -6 = 0 Reorder the terms for easier multiplication: 3cosx + 2 * 2cos * x + -5cos(x) + -6 = 0 Multiply 2 * 2 3cosx + 4cos * x + -5cos(x) + -6 = 0 Multiply cos * x 3cosx + 4cosx + -5cos(x) + -6 = 0 Multiply cos * x 3cosx + 4cosx + -5cosx + -6 = 0 Reorder the terms: -6 + 3cosx + 4cosx + -5cosx = 0 Combine like terms: 3cosx + 4cosx = 7cosx -6 + 7cosx + -5cosx = 0 Combine like terms: 7cosx + -5cosx = 2cosx -6 + 2cosx = 0 Solving -6 + 2cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2cosx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2cosx = 0 + 6 2cosx = 0 + 6 Combine like terms: 0 + 6 = 6 2cosx = 6 Divide each side by '2osx'. c = 3o-1s-1x-1 Simplifying c = 3o-1s-1x-1
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