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Simplifying 3sin(2x + -1) + -2cos(2x + 1) = 0 Reorder the terms: 3ins(-1 + 2x) + -2cos(2x + 1) = 0 (-1 * 3ins + 2x * 3ins) + -2cos(2x + 1) = 0 (-3ins + 6insx) + -2cos(2x + 1) = 0 Reorder the terms: -3ins + 6insx + -2cos(1 + 2x) = 0 -3ins + 6insx + (1 * -2cos + 2x * -2cos) = 0 -3ins + 6insx + (-2cos + -4cosx) = 0 Reorder the terms: -2cos + -4cosx + -3ins + 6insx = 0 Solving -2cos + -4cosx + -3ins + 6insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3ins' to each side of the equation. -2cos + -4cosx + -3ins + 3ins + 6insx = 0 + 3ins Combine like terms: -3ins + 3ins = 0 -2cos + -4cosx + 0 + 6insx = 0 + 3ins -2cos + -4cosx + 6insx = 0 + 3ins Remove the zero: -2cos + -4cosx + 6insx = 3ins Add '-6insx' to each side of the equation. -2cos + -4cosx + 6insx + -6insx = 3ins + -6insx Combine like terms: 6insx + -6insx = 0 -2cos + -4cosx + 0 = 3ins + -6insx -2cos + -4cosx = 3ins + -6insx Reorder the terms: -2cos + -4cosx + -3ins + 6insx = 3ins + -3ins + -6insx + 6insx Combine like terms: 3ins + -3ins = 0 -2cos + -4cosx + -3ins + 6insx = 0 + -6insx + 6insx -2cos + -4cosx + -3ins + 6insx = -6insx + 6insx Combine like terms: -6insx + 6insx = 0 -2cos + -4cosx + -3ins + 6insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-2co + -4cox + -3in + 6inx) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2co + -4cox + -3in + 6inx)' equal to zero and attempt to solve: Simplifying -2co + -4cox + -3in + 6inx = 0 Solving -2co + -4cox + -3in + 6inx = 0 Move all terms containing c to the left, all other terms to the right. Add '3in' to each side of the equation. -2co + -4cox + -3in + 3in + 6inx = 0 + 3in Combine like terms: -3in + 3in = 0 -2co + -4cox + 0 + 6inx = 0 + 3in -2co + -4cox + 6inx = 0 + 3in Remove the zero: -2co + -4cox + 6inx = 3in Add '-6inx' to each side of the equation. -2co + -4cox + 6inx + -6inx = 3in + -6inx Combine like terms: 6inx + -6inx = 0 -2co + -4cox + 0 = 3in + -6inx -2co + -4cox = 3in + -6inx 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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