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Simplifying 3cos2x + sin2x + 5sinx = 0 Reorder the terms: 3cos2x + 5insx + in2sx = 0 Solving 3cos2x + 5insx + in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5insx' to each side of the equation. 3cos2x + 5insx + -5insx + in2sx = 0 + -5insx Combine like terms: 5insx + -5insx = 0 3cos2x + 0 + in2sx = 0 + -5insx 3cos2x + in2sx = 0 + -5insx Remove the zero: 3cos2x + in2sx = -5insx Add '-1in2sx' to each side of the equation. 3cos2x + in2sx + -1in2sx = -5insx + -1in2sx Combine like terms: in2sx + -1in2sx = 0 3cos2x + 0 = -5insx + -1in2sx 3cos2x = -5insx + -1in2sx Divide each side by '3os2x'. c = -1.666666667ino-1s-1 + -0.3333333333in2o-1s-1 Simplifying c = -1.666666667ino-1s-1 + -0.3333333333in2o-1s-1
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