F(x)=2cos(x)-3sin(x)

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Solution for F(x)=2cos(x)-3sin(x) equation: 


Simplifying
F(x) = 2cos(x) + -3sin(x)

Multiply F * x
xF = 2cos(x) + -3sin(x)

Multiply cos * x
xF = 2cosx + -3sin(x)

Multiply ins * x
xF = 2cosx + -3insx

Solving
xF = 2cosx + -3insx

Solving for variable 'x'.

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

Add '-2cosx' to each side of the equation.
-2cosx + xF = 2cosx + -2cosx + -3insx

Combine like terms: 2cosx + -2cosx = 0
-2cosx + xF = 0 + -3insx
-2cosx + xF = -3insx

Add '3insx' to each side of the equation.
-2cosx + 3insx + xF = -3insx + 3insx

Combine like terms: -3insx + 3insx = 0
-2cosx + 3insx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2cos + 3ins + 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 '(-2cos + 3ins + F)' equal to zero and attempt to solve:

Simplifying
-2cos + 3ins + F = 0

Reorder the terms:
F + -2cos + 3ins = 0

Solving
F + -2cos + 3ins = 0

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

Add '-1F' to each side of the equation.
F + -2cos + -1F + 3ins = 0 + -1F

Reorder the terms:
F + -1F + -2cos + 3ins = 0 + -1F

Combine like terms: F + -1F = 0
0 + -2cos + 3ins = 0 + -1F
-2cos + 3ins = 0 + -1F
Remove the zero:
-2cos + 3ins = -1F

Add '2cos' to each side of the equation.
-2cos + 2cos + 3ins = -1F + 2cos

Combine like terms: -2cos + 2cos = 0
0 + 3ins = -1F + 2cos
3ins = -1F + 2cos

Add '-3ins' to each side of the equation.
3ins + -3ins = -1F + 2cos + -3ins

Combine like terms: 3ins + -3ins = 0
0 = -1F + 2cos + -3ins

Simplifying
0 = -1F + 2cos + -3ins

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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