F(x)=5cos(200x)

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Solution for F(x)=5cos(200x) equation: 


Simplifying
F(x) = 5cos(200x)

Multiply F * x
xF = 5cos(200x)

Remove parenthesis around (200x)
xF = 5cos * 200x

Reorder the terms for easier multiplication:
xF = 5 * 200cos * x

Multiply 5 * 200
xF = 1000cos * x

Multiply cos * x
xF = 1000cosx

Solving
xF = 1000cosx

Solving for variable 'x'.

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

Add '-1000cosx' to each side of the equation.
-1000cosx + xF = 1000cosx + -1000cosx

Combine like terms: 1000cosx + -1000cosx = 0
-1000cosx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1000cos + F) = 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 '(-1000cos + F)' equal to zero and attempt to solve:

Simplifying
-1000cos + F = 0

Reorder the terms:
F + -1000cos = 0

Solving
F + -1000cos = 0

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

Add '-1F' to each side of the equation.
F + -1F + -1000cos = 0 + -1F

Combine like terms: F + -1F = 0
0 + -1000cos = 0 + -1F
-1000cos = 0 + -1F
Remove the zero:
-1000cos = -1F

Add '1000cos' to each side of the equation.
-1000cos + 1000cos = -1F + 1000cos

Combine like terms: -1000cos + 1000cos = 0
0 = -1F + 1000cos

Simplifying
0 = -1F + 1000cos

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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