F(x)=cos(x)-2tan(x)

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Solution for F(x)=cos(x)-2tan(x) equation: 


Simplifying
F(x) = cos(x) + -2tan(x)

Multiply F * x
xF = cos(x) + -2tan(x)

Multiply cos * x
xF = cosx + -2tan(x)

Multiply ant * x
xF = cosx + -2antx

Reorder the terms:
xF = -2antx + cosx

Solving
xF = -2antx + cosx

Solving for variable 'x'.

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

Add '2antx' to each side of the equation.
2antx + xF = -2antx + 2antx + cosx

Combine like terms: -2antx + 2antx = 0
2antx + xF = 0 + cosx
2antx + xF = cosx

Add '-1cosx' to each side of the equation.
2antx + -1cosx + xF = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
2antx + -1cosx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2ant + -1cos + 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 '(2ant + -1cos + F)' equal to zero and attempt to solve:

Simplifying
2ant + -1cos + F = 0

Reorder the terms:
F + 2ant + -1cos = 0

Solving
F + 2ant + -1cos = 0

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

Add '-1F' to each side of the equation.
F + 2ant + -1F + -1cos = 0 + -1F

Reorder the terms:
F + -1F + 2ant + -1cos = 0 + -1F

Combine like terms: F + -1F = 0
0 + 2ant + -1cos = 0 + -1F
2ant + -1cos = 0 + -1F
Remove the zero:
2ant + -1cos = -1F

Add '-2ant' to each side of the equation.
2ant + -2ant + -1cos = -1F + -2ant

Combine like terms: 2ant + -2ant = 0
0 + -1cos = -1F + -2ant
-1cos = -1F + -2ant

Add 'cos' to each side of the equation.
-1cos + cos = -1F + -2ant + cos

Combine like terms: -1cos + cos = 0
0 = -1F + -2ant + cos

Simplifying
0 = -1F + -2ant + 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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