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Simplifying 4sin3x + 12cos2x + 11sinx + -15 = 0 Reorder the terms: -15 + 12cos2x + 11insx + 4in3sx = 0 Solving -15 + 12cos2x + 11insx + 4in3sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 12cos2x + 11insx + 15 + 4in3sx = 0 + 15 Reorder the terms: -15 + 15 + 12cos2x + 11insx + 4in3sx = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 12cos2x + 11insx + 4in3sx = 0 + 15 12cos2x + 11insx + 4in3sx = 0 + 15 Combine like terms: 0 + 15 = 15 12cos2x + 11insx + 4in3sx = 15 Add '-11insx' to each side of the equation. 12cos2x + 11insx + -11insx + 4in3sx = 15 + -11insx Combine like terms: 11insx + -11insx = 0 12cos2x + 0 + 4in3sx = 15 + -11insx 12cos2x + 4in3sx = 15 + -11insx Add '-4in3sx' to each side of the equation. 12cos2x + 4in3sx + -4in3sx = 15 + -11insx + -4in3sx Combine like terms: 4in3sx + -4in3sx = 0 12cos2x + 0 = 15 + -11insx + -4in3sx 12cos2x = 15 + -11insx + -4in3sx Divide each side by '12os2x'. c = 1.25o-1s-2x-1 + -0.9166666667ino-1s-1 + -0.3333333333in3o-1s-1 Simplifying c = 1.25o-1s-2x-1 + -0.9166666667ino-1s-1 + -0.3333333333in3o-1s-1 Reorder the terms: c = -0.9166666667ino-1s-1 + -0.3333333333in3o-1s-1 + 1.25o-1s-2x-1
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