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Simplifying sin(2x) + -1sin(4x) + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Remove parenthesis around (2x) ins * 2x + -1sin(4x) + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Reorder the terms for easier multiplication: 2ins * x + -1sin(4x) + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Multiply ins * x 2insx + -1sin(4x) + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Remove parenthesis around (4x) 2insx + -1ins * 4x + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Reorder the terms for easier multiplication: 2insx + -1 * 4ins * x + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Multiply -1 * 4 2insx + -4ins * x + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Multiply ins * x 2insx + -4insx + -1sin(6x) + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Remove parenthesis around (6x) 2insx + -4insx + -1ins * 6x + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Reorder the terms for easier multiplication: 2insx + -4insx + -1 * 6ins * x + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Multiply -1 * 6 2insx + -4insx + -6ins * x + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Multiply ins * x 2insx + -4insx + -6insx + sin(8x) = (2cos(3x) + -2cos(x)) * sin(5x) Remove parenthesis around (8x) 2insx + -4insx + -6insx + ins * 8x = (2cos(3x) + -2cos(x)) * sin(5x) Reorder the terms for easier multiplication: 2insx + -4insx + -6insx + 8ins * x = (2cos(3x) + -2cos(x)) * sin(5x) Multiply ins * x 2insx + -4insx + -6insx + 8insx = (2cos(3x) + -2cos(x)) * sin(5x) Combine like terms: 2insx + -4insx = -2insx -2insx + -6insx + 8insx = (2cos(3x) + -2cos(x)) * sin(5x) Combine like terms: -2insx + -6insx = -8insx -8insx + 8insx = (2cos(3x) + -2cos(x)) * sin(5x) Combine like terms: -8insx + 8insx = 0 0 = (2cos(3x) + -2cos(x)) * sin(5x) Remove parenthesis around (3x) 0 = (2cos * 3x + -2cos(x)) * sin(5x) Reorder the terms for easier multiplication: 0 = (2 * 3cos * x + -2cos(x)) * sin(5x) Multiply 2 * 3 0 = (6cos * x + -2cos(x)) * sin(5x) Multiply cos * x 0 = (6cosx + -2cos(x)) * sin(5x) Multiply cos * x 0 = (6cosx + -2cosx) * sin(5x) Combine like terms: 6cosx + -2cosx = 4cosx 0 = (4cosx) * sin(5x) Remove parenthesis around (4cosx) 0 = 4cosx * sin(5x) Remove parenthesis around (5x) 0 = 4cosx * ins * 5x Reorder the terms for easier multiplication: 0 = 4 * 5cosx * ins * x Multiply 4 * 5 0 = 20cosx * ins * x Multiply cosx * ins 0 = 20cinos2x * x Multiply cinos2x * x 0 = 20cinos2x2 Solving 0 = 20cinos2x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20cinos2x2' to each side of the equation. 0 + -20cinos2x2 = 20cinos2x2 + -20cinos2x2 Remove the zero: -20cinos2x2 = 20cinos2x2 + -20cinos2x2 Combine like terms: 20cinos2x2 + -20cinos2x2 = 0 -20cinos2x2 = 0 Divide each side by '-20'. cinos2x2 = 0 Simplifying cinos2x2 = 0 The solution to this equation could not be determined.
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