x=4cosx

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Solution for x=4cosx equation:


Simplifying
x = 4cosx

Solving
x = 4cosx

Solving for variable 'x'.

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

Add '-4cosx' to each side of the equation.
-4cosx + x = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
-4cosx + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4cos + 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 '(-4cos + 1)' equal to zero and attempt to solve: Simplifying -4cos + 1 = 0 Reorder the terms: 1 + -4cos = 0 Solving 1 + -4cos = 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 + -4cos = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4cos = 0 + -1 -4cos = 0 + -1 Combine like terms: 0 + -1 = -1 -4cos = -1 Add '4cos' to each side of the equation. -4cos + 4cos = -1 + 4cos Combine like terms: -4cos + 4cos = 0 0 = -1 + 4cos Simplifying 0 = -1 + 4cos 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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