x=sin(x)

Solution for x=sin(x) equation:

Simplifying
x = sin(x)

Multiply ins * x
x = insx

Solving
x = insx

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 + x = insx + -1insx

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

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

Simplifying
-1ins + 1 = 0

Reorder the terms:
1 + -1ins = 0

Solving
1 + -1ins = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1ins = 0 + -1

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

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

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

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

Simplifying
0 = -1 + 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}