X+sinX=0

Solution for X+sinX=0 equation:

Simplifying
X + sinX = 0

Solving
X + insX = 0

Solving for variable 'X'.

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

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

Simplifying
1 + ins = 0

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

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

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

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

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

Simplifying
0 = -1 + -1ins

The solution to this equation could not be determined.

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