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Simplifying 3cos2x + 2sinx + 2 = 0 Reorder the terms: 2 + 3cos2x + 2insx = 0 Solving 2 + 3cos2x + 2insx = 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 + 3cos2x + -2 + 2insx = 0 + -2 Reorder the terms: 2 + -2 + 3cos2x + 2insx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3cos2x + 2insx = 0 + -2 3cos2x + 2insx = 0 + -2 Combine like terms: 0 + -2 = -2 3cos2x + 2insx = -2 Add '-2insx' to each side of the equation. 3cos2x + 2insx + -2insx = -2 + -2insx Combine like terms: 2insx + -2insx = 0 3cos2x + 0 = -2 + -2insx 3cos2x = -2 + -2insx Divide each side by '3os2x'. c = -0.6666666667o-1s-2x-1 + -0.6666666667ino-1s-1 Simplifying c = -0.6666666667o-1s-2x-1 + -0.6666666667ino-1s-1 Reorder the terms: c = -0.6666666667ino-1s-1 + -0.6666666667o-1s-2x-1
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