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Simplifying 2cos(6x) + 2cos(4x) + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Remove parenthesis around (6x) 2cos * 6x + 2cos(4x) + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Reorder the terms for easier multiplication: 2 * 6cos * x + 2cos(4x) + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Multiply 2 * 6 12cos * x + 2cos(4x) + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Multiply cos * x 12cosx + 2cos(4x) + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Remove parenthesis around (4x) 12cosx + 2cos * 4x + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Reorder the terms for easier multiplication: 12cosx + 2 * 4cos * x + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Multiply 2 * 4 12cosx + 8cos * x + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Multiply cos * x 12cosx + 8cosx + -1sqrt(3) * cos(2x) = sin(2x) + sqrt(3) Remove parenthesis around (2x) 12cosx + 8cosx + -1qrst * 3cos * 2x = sin(2x) + sqrt(3) Reorder the terms for easier multiplication: 12cosx + 8cosx + -1 * 3 * 2qrst * cos * x = sin(2x) + sqrt(3) Multiply -1 * 3 12cosx + 8cosx + -3 * 2qrst * cos * x = sin(2x) + sqrt(3) Multiply -3 * 2 12cosx + 8cosx + -6qrst * cos * x = sin(2x) + sqrt(3) Multiply qrst * cos 12cosx + 8cosx + -6coqrs2t * x = sin(2x) + sqrt(3) Multiply coqrs2t * x 12cosx + 8cosx + -6coqrs2tx = sin(2x) + sqrt(3) Reorder the terms: -6coqrs2tx + 12cosx + 8cosx = sin(2x) + sqrt(3) Combine like terms: 12cosx + 8cosx = 20cosx -6coqrs2tx + 20cosx = sin(2x) + sqrt(3) Remove parenthesis around (2x) -6coqrs2tx + 20cosx = ins * 2x + sqrt(3) Reorder the terms for easier multiplication: -6coqrs2tx + 20cosx = 2ins * x + sqrt(3) Multiply ins * x -6coqrs2tx + 20cosx = 2insx + sqrt(3) Reorder the terms for easier multiplication: -6coqrs2tx + 20cosx = 2insx + 3qrst Solving -6coqrs2tx + 20cosx = 2insx + 3qrst Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -6coqrs2tx + 20cosx + -2insx + -3qrst = 2insx + -2insx + 3qrst + -3qrst Combine like terms: 2insx + -2insx = 0 -6coqrs2tx + 20cosx + -2insx + -3qrst = 0 + 3qrst + -3qrst -6coqrs2tx + 20cosx + -2insx + -3qrst = 3qrst + -3qrst Combine like terms: 3qrst + -3qrst = 0 -6coqrs2tx + 20cosx + -2insx + -3qrst = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-6coqrstx + 20cox + -2inx + -3qrt) = 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 '(-6coqrstx + 20cox + -2inx + -3qrt)' equal to zero and attempt to solve: Simplifying -6coqrstx + 20cox + -2inx + -3qrt = 0 Solving -6coqrstx + 20cox + -2inx + -3qrt = 0 Move all terms containing c to the left, all other terms to the right. Add '2inx' to each side of the equation. -6coqrstx + 20cox + -2inx + 2inx + -3qrt = 0 + 2inx Combine like terms: -2inx + 2inx = 0 -6coqrstx + 20cox + 0 + -3qrt = 0 + 2inx -6coqrstx + 20cox + -3qrt = 0 + 2inx Remove the zero: -6coqrstx + 20cox + -3qrt = 2inx Add '3qrt' to each side of the equation. -6coqrstx + 20cox + -3qrt + 3qrt = 2inx + 3qrt Combine like terms: -3qrt + 3qrt = 0 -6coqrstx + 20cox + 0 = 2inx + 3qrt -6coqrstx + 20cox = 2inx + 3qrt 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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