F(x)=cos^3(x^2)

Solution for F(x)=cos^3(x^2) equation:

Simplifying
F(x) = cos3(x2)

Multiply F * x
xF = cos3(x2)

Multiply cos3 * x2
xF = cos3x2

Solving
xF = cos3x2

Solving for variable 'x'.

Reorder the terms:
-1cos3x2 + xF = cos3x2 + -1cos3x2

Combine like terms: cos3x2 + -1cos3x2 = 0
-1cos3x2 + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1cos3x + F) = 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 '(-1cos3x + F)' equal to zero and attempt to solve:

Simplifying
-1cos3x + F = 0

Reorder the terms:
F + -1cos3x = 0

Solving
F + -1cos3x = 0

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

Add '-1F' to each side of the equation.
F + -1F + -1cos3x = 0 + -1F

Combine like terms: F + -1F = 0
0 + -1cos3x = 0 + -1F
-1cos3x = 0 + -1F
Remove the zero:
-1cos3x = -1F

Divide each side by '-1cos3'.
x = c-1o-1s-3F

Simplifying
x = c-1o-1s-3F
Solution
x = {0, c-1o-1s-3F}