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Simplifying 5sin2 * x + 4sin * 2x + 6cos2 * 4x = 0 Multiply in2s * x 5in2sx + 4sin * 2x + 6cos2 * 4x = 0 Reorder the terms for easier multiplication: 5in2sx + 4 * 2ins * x + 6cos2 * 4x = 0 Multiply 4 * 2 5in2sx + 8ins * x + 6cos2 * 4x = 0 Multiply ins * x 5in2sx + 8insx + 6cos2 * 4x = 0 Reorder the terms for easier multiplication: 5in2sx + 8insx + 6 * 4cos2 * x = 0 Multiply 6 * 4 5in2sx + 8insx + 24cos2 * x = 0 Multiply cos2 * x 5in2sx + 8insx + 24cos2x = 0 Reorder the terms: 24cos2x + 8insx + 5in2sx = 0 Solving 24cos2x + 8insx + 5in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8insx' to each side of the equation. 24cos2x + 8insx + -8insx + 5in2sx = 0 + -8insx Combine like terms: 8insx + -8insx = 0 24cos2x + 0 + 5in2sx = 0 + -8insx 24cos2x + 5in2sx = 0 + -8insx Remove the zero: 24cos2x + 5in2sx = -8insx Add '-5in2sx' to each side of the equation. 24cos2x + 5in2sx + -5in2sx = -8insx + -5in2sx Combine like terms: 5in2sx + -5in2sx = 0 24cos2x + 0 = -8insx + -5in2sx 24cos2x = -8insx + -5in2sx Divide each side by '24os2x'. c = -0.3333333333ino-1s-1 + -0.2083333333in2o-1s-1 Simplifying c = -0.3333333333ino-1s-1 + -0.2083333333in2o-1s-1
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