P(x)=2cos(0.5x)

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Solution for P(x)=2cos(0.5x) equation: 


Simplifying
P(x) = 2cos(0.5x)

Multiply P * x
xP = 2cos(0.5x)

Remove parenthesis around (0.5x)
xP = 2cos * 0.5x

Reorder the terms for easier multiplication:
xP = 2 * 0.5cos * x

Multiply 2 * 0.5
xP = 1cos * x

Multiply cos * x
xP = 1cosx

Solving
xP = 1cosx

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 + xP = 1cosx + -1cosx

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1cos + P) = 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 + P)' equal to zero and attempt to solve:

Simplifying
-1cos + P = 0

Reorder the terms:
P + -1cos = 0

Solving
P + -1cos = 0

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

Add '-1P' to each side of the equation.
P + -1P + -1cos = 0 + -1P

Combine like terms: P + -1P = 0
0 + -1cos = 0 + -1P
-1cos = 0 + -1P
Remove the zero:
-1cos = -1P

Add 'cos' to each side of the equation.
-1cos + cos = -1P + cos

Combine like terms: -1cos + cos = 0
0 = -1P + cos

Simplifying
0 = -1P + 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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