F(x)=5cos(6x)

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Solution for F(x)=5cos(6x) equation: 


Simplifying
F(x) = 5cos(6x)

Multiply F * x
xF = 5cos(6x)

Remove parenthesis around (6x)
xF = 5cos * 6x

Reorder the terms for easier multiplication:
xF = 5 * 6cos * x

Multiply 5 * 6
xF = 30cos * x

Multiply cos * x
xF = 30cosx

Solving
xF = 30cosx

Solving for variable 'x'.

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

Add '-30cosx' to each side of the equation.
-30cosx + xF = 30cosx + -30cosx

Combine like terms: 30cosx + -30cosx = 0
-30cosx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30cos + 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 '(-30cos + F)' equal to zero and attempt to solve:

Simplifying
-30cos + F = 0

Reorder the terms:
F + -30cos = 0

Solving
F + -30cos = 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 + -30cos = 0 + -1F

Combine like terms: F + -1F = 0
0 + -30cos = 0 + -1F
-30cos = 0 + -1F
Remove the zero:
-30cos = -1F

Add '30cos' to each side of the equation.
-30cos + 30cos = -1F + 30cos

Combine like terms: -30cos + 30cos = 0
0 = -1F + 30cos

Simplifying
0 = -1F + 30cos

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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