x^2=cos(x)

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

Simplifying
x2 = cos(x)

Multiply cos * x
x2 = cosx

Solving
x2 = cosx

Solving for variable 'x'.

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

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

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

Simplifying
-1cos + x = 0

Solving
-1cos + x = 0

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

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

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

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