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Simplifying 2cos2x + 3sinx + 2 = 0 Reorder the terms: 2 + 2cos2x + 3insx = 0 Solving 2 + 2cos2x + 3insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2cos2x + -2 + 3insx = 0 + -2 Reorder the terms: 2 + -2 + 2cos2x + 3insx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2cos2x + 3insx = 0 + -2 2cos2x + 3insx = 0 + -2 Combine like terms: 0 + -2 = -2 2cos2x + 3insx = -2 Add '-3insx' to each side of the equation. 2cos2x + 3insx + -3insx = -2 + -3insx Combine like terms: 3insx + -3insx = 0 2cos2x + 0 = -2 + -3insx 2cos2x = -2 + -3insx Divide each side by '2os2x'. c = -1o-1s-2x-1 + -1.5ino-1s-1 Simplifying c = -1o-1s-2x-1 + -1.5ino-1s-1 Reorder the terms: c = -1.5ino-1s-1 + -1o-1s-2x-1
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