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

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

Simplifying
F(x) = sin(2x + -1x)

Multiply F * x
xF = sin(2x + -1x)

Combine like terms: 2x + -1x = 1x
xF = ins(1x)

Remove parenthesis around (1x)
xF = ins * 1x

Reorder the terms for easier multiplication:
xF = 1ins * x

Multiply ins * x
xF = 1insx

Solving
xF = 1insx

Solving for variable 'x'.

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

Add '-1insx' to each side of the equation.
-1insx + xF = 1insx + -1insx

Combine like terms: 1insx + -1insx = 0
-1insx + xF = 0

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

Simplifying
-1ins + F = 0

Reorder the terms:
F + -1ins = 0

Solving
F + -1ins = 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 + -1ins = 0 + -1F

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

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

Combine like terms: -1ins + ins = 0
0 = -1F + ins

Simplifying
0 = -1F + ins

The solution to this equation could not be determined.

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