x=-sinx

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Solution for x=-sinx equation:


Simplifying
x = -1sinx

Solving
x = -1insx

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(ins + 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 '(ins + 1)' equal to zero and attempt to solve: Simplifying ins + 1 = 0 Reorder the terms: 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}

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