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Simplifying -4sin(2x) + 4cos(x) + 1 = 0 Remove parenthesis around (2x) -4ins * 2x + 4cos(x) + 1 = 0 Reorder the terms for easier multiplication: -4 * 2ins * x + 4cos(x) + 1 = 0 Multiply -4 * 2 -8ins * x + 4cos(x) + 1 = 0 Multiply ins * x -8insx + 4cos(x) + 1 = 0 Multiply cos * x -8insx + 4cosx + 1 = 0 Reorder the terms: 1 + 4cosx + -8insx = 0 Solving 1 + 4cosx + -8insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4cosx + -1 + -8insx = 0 + -1 Reorder the terms: 1 + -1 + 4cosx + -8insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cosx + -8insx = 0 + -1 4cosx + -8insx = 0 + -1 Combine like terms: 0 + -1 = -1 4cosx + -8insx = -1 Add '8insx' to each side of the equation. 4cosx + -8insx + 8insx = -1 + 8insx Combine like terms: -8insx + 8insx = 0 4cosx + 0 = -1 + 8insx 4cosx = -1 + 8insx Divide each side by '4osx'. c = -0.25o-1s-1x-1 + 2ino-1 Simplifying c = -0.25o-1s-1x-1 + 2ino-1 Reorder the terms: c = 2ino-1 + -0.25o-1s-1x-1
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