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Simplifying 2cos2x + 5sinx + 1 = 0 Reorder the terms: 1 + 2cos2x + 5insx = 0 Solving 1 + 2cos2x + 5insx = 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 + 2cos2x + -1 + 5insx = 0 + -1 Reorder the terms: 1 + -1 + 2cos2x + 5insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2cos2x + 5insx = 0 + -1 2cos2x + 5insx = 0 + -1 Combine like terms: 0 + -1 = -1 2cos2x + 5insx = -1 Add '-5insx' to each side of the equation. 2cos2x + 5insx + -5insx = -1 + -5insx Combine like terms: 5insx + -5insx = 0 2cos2x + 0 = -1 + -5insx 2cos2x = -1 + -5insx Divide each side by '2os2x'. c = -0.5o-1s-2x-1 + -2.5ino-1s-1 Simplifying c = -0.5o-1s-2x-1 + -2.5ino-1s-1 Reorder the terms: c = -2.5ino-1s-1 + -0.5o-1s-2x-1
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