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Simplifying 2cosx + 5sinx + 3 = 0 Reorder the terms: 3 + 2cosx + 5insx = 0 Solving 3 + 2cosx + 5insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2cosx + -3 + 5insx = 0 + -3 Reorder the terms: 3 + -3 + 2cosx + 5insx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2cosx + 5insx = 0 + -3 2cosx + 5insx = 0 + -3 Combine like terms: 0 + -3 = -3 2cosx + 5insx = -3 Add '-5insx' to each side of the equation. 2cosx + 5insx + -5insx = -3 + -5insx Combine like terms: 5insx + -5insx = 0 2cosx + 0 = -3 + -5insx 2cosx = -3 + -5insx Divide each side by '2osx'. c = -1.5o-1s-1x-1 + -2.5ino-1 Simplifying c = -1.5o-1s-1x-1 + -2.5ino-1 Reorder the terms: c = -2.5ino-1 + -1.5o-1s-1x-1
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