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Simplifying (3sinx + 6)(cosx + 1) = 0 Reorder the terms: (6 + 3insx)(cosx + 1) = 0 Reorder the terms: (6 + 3insx)(1 + cosx) = 0 Multiply (6 + 3insx) * (1 + cosx) (6(1 + cosx) + 3insx * (1 + cosx)) = 0 ((1 * 6 + cosx * 6) + 3insx * (1 + cosx)) = 0 ((6 + 6cosx) + 3insx * (1 + cosx)) = 0 (6 + 6cosx + (1 * 3insx + cosx * 3insx)) = 0 Reorder the terms: (6 + 6cosx + (3cinos2x2 + 3insx)) = 0 (6 + 6cosx + (3cinos2x2 + 3insx)) = 0 Reorder the terms: (6 + 3cinos2x2 + 6cosx + 3insx) = 0 (6 + 3cinos2x2 + 6cosx + 3insx) = 0 Solving 6 + 3cinos2x2 + 6cosx + 3insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3cinos2x2 + 6cosx + -6 + 3insx = 0 + -6 Reorder the terms: 6 + -6 + 3cinos2x2 + 6cosx + 3insx = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3cinos2x2 + 6cosx + 3insx = 0 + -6 3cinos2x2 + 6cosx + 3insx = 0 + -6 Combine like terms: 0 + -6 = -6 3cinos2x2 + 6cosx + 3insx = -6 Add '-3insx' to each side of the equation. 3cinos2x2 + 6cosx + 3insx + -3insx = -6 + -3insx Combine like terms: 3insx + -3insx = 0 3cinos2x2 + 6cosx + 0 = -6 + -3insx 3cinos2x2 + 6cosx = -6 + -3insx Reorder the terms: 6 + 3cinos2x2 + 6cosx + 3insx = -6 + -3insx + 6 + 3insx Reorder the terms: 6 + 3cinos2x2 + 6cosx + 3insx = -6 + 6 + -3insx + 3insx Combine like terms: -6 + 6 = 0 6 + 3cinos2x2 + 6cosx + 3insx = 0 + -3insx + 3insx 6 + 3cinos2x2 + 6cosx + 3insx = -3insx + 3insx Combine like terms: -3insx + 3insx = 0 6 + 3cinos2x2 + 6cosx + 3insx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + cinos2x2 + 2cosx + insx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + cinos2x2 + 2cosx + insx)' equal to zero and attempt to solve: Simplifying 2 + cinos2x2 + 2cosx + insx = 0 Solving 2 + cinos2x2 + 2cosx + insx = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + cinos2x2 + 2cosx + -2 + insx = 0 + -2 Reorder the terms: 2 + -2 + cinos2x2 + 2cosx + insx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + cinos2x2 + 2cosx + insx = 0 + -2 cinos2x2 + 2cosx + insx = 0 + -2 Combine like terms: 0 + -2 = -2 cinos2x2 + 2cosx + insx = -2 Add '-1insx' to each side of the equation. cinos2x2 + 2cosx + insx + -1insx = -2 + -1insx Combine like terms: insx + -1insx = 0 cinos2x2 + 2cosx + 0 = -2 + -1insx cinos2x2 + 2cosx = -2 + -1insx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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