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Simplifying 4sin(2x) + 4cos2(2x) = 0 Remove parenthesis around (2x) 4ins * 2x + 4cos2(2x) = 0 Reorder the terms for easier multiplication: 4 * 2ins * x + 4cos2(2x) = 0 Multiply 4 * 2 8ins * x + 4cos2(2x) = 0 Multiply ins * x 8insx + 4cos2(2x) = 0 Remove parenthesis around (2x) 8insx + 4cos2 * 2x = 0 Reorder the terms for easier multiplication: 8insx + 4 * 2cos2 * x = 0 Multiply 4 * 2 8insx + 8cos2 * x = 0 Multiply cos2 * x 8insx + 8cos2x = 0 Reorder the terms: 8cos2x + 8insx = 0 Solving 8cos2x + 8insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8insx' to each side of the equation. 8cos2x + 8insx + -8insx = 0 + -8insx Combine like terms: 8insx + -8insx = 0 8cos2x + 0 = 0 + -8insx 8cos2x = 0 + -8insx Remove the zero: 8cos2x = -8insx Divide each side by '8os2x'. c = -1ino-1s-1 Simplifying c = -1ino-1s-1
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