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Simplifying (3sinx + 7)(-2cosx + -1) = 0 Reorder the terms: (7 + 3insx)(-2cosx + -1) = 0 Reorder the terms: (7 + 3insx)(-1 + -2cosx) = 0 Multiply (7 + 3insx) * (-1 + -2cosx) (7(-1 + -2cosx) + 3insx * (-1 + -2cosx)) = 0 ((-1 * 7 + -2cosx * 7) + 3insx * (-1 + -2cosx)) = 0 ((-7 + -14cosx) + 3insx * (-1 + -2cosx)) = 0 (-7 + -14cosx + (-1 * 3insx + -2cosx * 3insx)) = 0 Reorder the terms: (-7 + -14cosx + (-6cinos2x2 + -3insx)) = 0 (-7 + -14cosx + (-6cinos2x2 + -3insx)) = 0 Reorder the terms: (-7 + -6cinos2x2 + -14cosx + -3insx) = 0 (-7 + -6cinos2x2 + -14cosx + -3insx) = 0 Solving -7 + -6cinos2x2 + -14cosx + -3insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6cinos2x2 + -14cosx + 7 + -3insx = 0 + 7 Reorder the terms: -7 + 7 + -6cinos2x2 + -14cosx + -3insx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6cinos2x2 + -14cosx + -3insx = 0 + 7 -6cinos2x2 + -14cosx + -3insx = 0 + 7 Combine like terms: 0 + 7 = 7 -6cinos2x2 + -14cosx + -3insx = 7 Add '3insx' to each side of the equation. -6cinos2x2 + -14cosx + -3insx + 3insx = 7 + 3insx Combine like terms: -3insx + 3insx = 0 -6cinos2x2 + -14cosx + 0 = 7 + 3insx -6cinos2x2 + -14cosx = 7 + 3insx Reorder the terms: -7 + -6cinos2x2 + -14cosx + -3insx = 7 + 3insx + -7 + -3insx Reorder the terms: -7 + -6cinos2x2 + -14cosx + -3insx = 7 + -7 + 3insx + -3insx Combine like terms: 7 + -7 = 0 -7 + -6cinos2x2 + -14cosx + -3insx = 0 + 3insx + -3insx -7 + -6cinos2x2 + -14cosx + -3insx = 3insx + -3insx Combine like terms: 3insx + -3insx = 0 -7 + -6cinos2x2 + -14cosx + -3insx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 6cinos2x2 + 14cosx + 3insx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 6cinos2x2 + 14cosx + 3insx)' equal to zero and attempt to solve: Simplifying 7 + 6cinos2x2 + 14cosx + 3insx = 0 Solving 7 + 6cinos2x2 + 14cosx + 3insx = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6cinos2x2 + 14cosx + -7 + 3insx = 0 + -7 Reorder the terms: 7 + -7 + 6cinos2x2 + 14cosx + 3insx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6cinos2x2 + 14cosx + 3insx = 0 + -7 6cinos2x2 + 14cosx + 3insx = 0 + -7 Combine like terms: 0 + -7 = -7 6cinos2x2 + 14cosx + 3insx = -7 Add '-3insx' to each side of the equation. 6cinos2x2 + 14cosx + 3insx + -3insx = -7 + -3insx Combine like terms: 3insx + -3insx = 0 6cinos2x2 + 14cosx + 0 = -7 + -3insx 6cinos2x2 + 14cosx = -7 + -3insx 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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