F(x)=7cos(3x)

Solution for F(x)=7cos(3x) equation:

Simplifying
F(x) = 7cos(3x)

Multiply F * x
xF = 7cos(3x)

Remove parenthesis around (3x)
xF = 7cos * 3x

Reorder the terms for easier multiplication:
xF = 7 * 3cos * x

Multiply 7 * 3
xF = 21cos * x

Multiply cos * x
xF = 21cosx

Solving
xF = 21cosx

Solving for variable 'x'.

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

Add '-21cosx' to each side of the equation.
-21cosx + xF = 21cosx + -21cosx

Combine like terms: 21cosx + -21cosx = 0
-21cosx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-21cos + 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 '(-21cos + F)' equal to zero and attempt to solve:

Simplifying
-21cos + F = 0

Reorder the terms:
F + -21cos = 0

Solving
F + -21cos = 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 + -21cos = 0 + -1F

Combine like terms: F + -1F = 0
0 + -21cos = 0 + -1F
-21cos = 0 + -1F
Remove the zero:
-21cos = -1F

Add '21cos' to each side of the equation.
-21cos + 21cos = -1F + 21cos

Combine like terms: -21cos + 21cos = 0
0 = -1F + 21cos

Simplifying
0 = -1F + 21cos

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}