x^2=sin(x)

Solution for x^2=sin(x) equation:

Simplifying
x2 = sin(x)

Multiply ins * x
x2 = insx

Solving
x2 = insx

Solving for variable 'x'.

Reorder the terms:
-1insx + x2 = insx + -1insx

Combine like terms: insx + -1insx = 0
-1insx + x2 = 0

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

Simplifying
-1ins + x = 0

Solving
-1ins + x = 0

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

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

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

Simplifying
x = ins
Solution
x = {0, ins}