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Simplifying sin(2x) + -1sin(4x) + -1sin(6x) + sin(8x) = 0 Remove parenthesis around (2x) ins * 2x + -1sin(4x) + -1sin(6x) + sin(8x) = 0 Reorder the terms for easier multiplication: 2ins * x + -1sin(4x) + -1sin(6x) + sin(8x) = 0 Multiply ins * x 2insx + -1sin(4x) + -1sin(6x) + sin(8x) = 0 Remove parenthesis around (4x) 2insx + -1ins * 4x + -1sin(6x) + sin(8x) = 0 Reorder the terms for easier multiplication: 2insx + -1 * 4ins * x + -1sin(6x) + sin(8x) = 0 Multiply -1 * 4 2insx + -4ins * x + -1sin(6x) + sin(8x) = 0 Multiply ins * x 2insx + -4insx + -1sin(6x) + sin(8x) = 0 Remove parenthesis around (6x) 2insx + -4insx + -1ins * 6x + sin(8x) = 0 Reorder the terms for easier multiplication: 2insx + -4insx + -1 * 6ins * x + sin(8x) = 0 Multiply -1 * 6 2insx + -4insx + -6ins * x + sin(8x) = 0 Multiply ins * x 2insx + -4insx + -6insx + sin(8x) = 0 Remove parenthesis around (8x) 2insx + -4insx + -6insx + ins * 8x = 0 Reorder the terms for easier multiplication: 2insx + -4insx + -6insx + 8ins * x = 0 Multiply ins * x 2insx + -4insx + -6insx + 8insx = 0 Combine like terms: 2insx + -4insx = -2insx -2insx + -6insx + 8insx = 0 Combine like terms: -2insx + -6insx = -8insx -8insx + 8insx = 0 Combine like terms: -8insx + 8insx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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