cos(3)=cos(3x)

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Solution for cos(3)=cos(3x) equation:


Simplifying
cos(3) = cos(3x)

Reorder the terms for easier multiplication:
3cos = cos(3x)

Remove parenthesis around (3x)
3cos = cos * 3x

Reorder the terms for easier multiplication:
3cos = 3cos * x

Multiply cos * x
3cos = 3cosx

Solving
3cos = 3cosx

Solving for variable 'c'.

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

Add '-3cosx' to each side of the equation.
3cos + -3cosx = 3cosx + -3cosx

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

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

Ignore the factor 3.

Subproblem 1

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