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Simplifying 8cos(2 + -6x) = 4(sqrt(3)) (2 * 8cos + -6x * 8cos) = 4(sqrt(3)) (16cos + -48cosx) = 4(sqrt(3)) Reorder the terms for easier multiplication: 16cos + -48cosx = 4(3qrst) Remove parenthesis around (3qrst) 16cos + -48cosx = 4 * 3qrst Multiply 4 * 3 16cos + -48cosx = 12qrst Solving 16cos + -48cosx = 12qrst Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Combine like terms: 12qrst + -12qrst = 0 16cos + -48cosx + -12qrst = 0 Factor out the Greatest Common Factor (GCF), '4s'. 4s(4co + -12cox + -3qrt) = 0 Ignore the factor 4.Subproblem 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 '(4co + -12cox + -3qrt)' equal to zero and attempt to solve: Simplifying 4co + -12cox + -3qrt = 0 Solving 4co + -12cox + -3qrt = 0 Move all terms containing c to the left, all other terms to the right. Add '3qrt' to each side of the equation. 4co + -12cox + -3qrt + 3qrt = 0 + 3qrt Combine like terms: -3qrt + 3qrt = 0 4co + -12cox + 0 = 0 + 3qrt 4co + -12cox = 0 + 3qrt Remove the zero: 4co + -12cox = 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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