8cos(2-6x)=4(sqrt(3))

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Solution for 8cos(2-6x)=4(sqrt(3)) equation:


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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