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Simplifying -3sin2x + 5cosx + 1 = 0 Reorder the terms: 1 + 5cosx + -3in2sx = 0 Solving 1 + 5cosx + -3in2sx = 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 + 5cosx + -1 + -3in2sx = 0 + -1 Reorder the terms: 1 + -1 + 5cosx + -3in2sx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5cosx + -3in2sx = 0 + -1 5cosx + -3in2sx = 0 + -1 Combine like terms: 0 + -1 = -1 5cosx + -3in2sx = -1 Add '3in2sx' to each side of the equation. 5cosx + -3in2sx + 3in2sx = -1 + 3in2sx Combine like terms: -3in2sx + 3in2sx = 0 5cosx + 0 = -1 + 3in2sx 5cosx = -1 + 3in2sx Divide each side by '5osx'. c = -0.2o-1s-1x-1 + 0.6in2o-1 Simplifying c = -0.2o-1s-1x-1 + 0.6in2o-1 Reorder the terms: c = 0.6in2o-1 + -0.2o-1s-1x-1
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