2*x=3*(cos(x))

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Solution for 2*x=3*(cos(x)) equation: 


Simplifying
2x = 3(cos(x))

Multiply cos * x
2x = 3(cosx)

Solving
2x = 3cosx

Solving for variable 'x'.

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

Add '-3cosx' to each side of the equation.
-3cosx + 2x = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 2x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3cos + 2) = 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 '(-3cos + 2)' equal to zero and attempt to solve:

Simplifying
-3cos + 2 = 0

Reorder the terms:
2 + -3cos = 0

Solving
2 + -3cos = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3cos = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3cos = 0 + -2
-3cos = 0 + -2

Combine like terms: 0 + -2 = -2
-3cos = -2

Add '3cos' to each side of the equation.
-3cos + 3cos = -2 + 3cos

Combine like terms: -3cos + 3cos = 0
0 = -2 + 3cos

Simplifying
0 = -2 + 3cos

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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