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Simplifying Cos(x) + cos(2x) + -1cos(5x) + -1cos(4x) = 0 Multiply osC * x osxC + cos(2x) + -1cos(5x) + -1cos(4x) = 0 Remove parenthesis around (2x) osxC + cos * 2x + -1cos(5x) + -1cos(4x) = 0 Reorder the terms for easier multiplication: osxC + 2cos * x + -1cos(5x) + -1cos(4x) = 0 Multiply cos * x osxC + 2cosx + -1cos(5x) + -1cos(4x) = 0 Remove parenthesis around (5x) osxC + 2cosx + -1cos * 5x + -1cos(4x) = 0 Reorder the terms for easier multiplication: osxC + 2cosx + -1 * 5cos * x + -1cos(4x) = 0 Multiply -1 * 5 osxC + 2cosx + -5cos * x + -1cos(4x) = 0 Multiply cos * x osxC + 2cosx + -5cosx + -1cos(4x) = 0 Remove parenthesis around (4x) osxC + 2cosx + -5cosx + -1cos * 4x = 0 Reorder the terms for easier multiplication: osxC + 2cosx + -5cosx + -1 * 4cos * x = 0 Multiply -1 * 4 osxC + 2cosx + -5cosx + -4cos * x = 0 Multiply cos * x osxC + 2cosx + -5cosx + -4cosx = 0 Reorder the terms: 2cosx + -5cosx + -4cosx + osxC = 0 Combine like terms: 2cosx + -5cosx = -3cosx -3cosx + -4cosx + osxC = 0 Combine like terms: -3cosx + -4cosx = -7cosx -7cosx + osxC = 0 Solving -7cosx + osxC = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1osxC' to each side of the equation. -7cosx + osxC + -1osxC = 0 + -1osxC Combine like terms: osxC + -1osxC = 0 -7cosx + 0 = 0 + -1osxC -7cosx = 0 + -1osxC Remove the zero: -7cosx = -1osxC Divide each side by '-7osx'. c = 0.1428571429C Simplifying c = 0.1428571429C
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