6cos(5-6x)=3

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Solution for 6cos(5-6x)=3 equation:


Simplifying
6cos(5 + -6x) = 3
(5 * 6cos + -6x * 6cos) = 3
(30cos + -36cosx) = 3

Solving
30cos + -36cosx = 3

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Reorder the terms:
-3 + 30cos + -36cosx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 30cos + -36cosx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 10cos + -12cosx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + 10cos + -12cosx)' equal to zero and attempt to solve: Simplifying -1 + 10cos + -12cosx = 0 Solving -1 + 10cos + -12cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10cos + 1 + -12cosx = 0 + 1 Reorder the terms: -1 + 1 + 10cos + -12cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10cos + -12cosx = 0 + 1 10cos + -12cosx = 0 + 1 Combine like terms: 0 + 1 = 1 10cos + -12cosx = 1 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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