x=cosx

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Solution for x=cosx equation:


Simplifying
x = cosx

Solving
x = cosx

Solving for variable 'x'.

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

Add '-1cosx' to each side of the equation.
-1cosx + x = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + x = 0

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

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1cos + 1)' equal to zero and attempt to solve: Simplifying -1cos + 1 = 0 Reorder the terms: 1 + -1cos = 0 Solving 1 + -1cos = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1cos = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1cos = 0 + -1 -1cos = 0 + -1 Combine like terms: 0 + -1 = -1 -1cos = -1 Add 'cos' to each side of the equation. -1cos + cos = -1 + cos Combine like terms: -1cos + cos = 0 0 = -1 + cos Simplifying 0 = -1 + cos The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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