F(x)=4x^3-cosx

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Solution for F(x)=4x^3-cosx equation: 


Simplifying
F(x) = 4x3 + -1cosx

Multiply F * x
xF = 4x3 + -1cosx

Reorder the terms:
xF = -1cosx + 4x3

Solving
xF = -1cosx + 4x3

Solving for variable 'x'.

Reorder the terms:
cosx + xF + -4x3 = -1cosx + 4x3 + cosx + -4x3

Reorder the terms:
cosx + xF + -4x3 = -1cosx + cosx + 4x3 + -4x3

Combine like terms: -1cosx + cosx = 0
cosx + xF + -4x3 = 0 + 4x3 + -4x3
cosx + xF + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
cosx + xF + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(cos + F + -4x2) = 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 '(cos + F + -4x2)' equal to zero and attempt to solve:

Simplifying
cos + F + -4x2 = 0

Reorder the terms:
F + cos + -4x2 = 0

Solving
F + cos + -4x2 = 0

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

Add '-1F' to each side of the equation.
F + cos + -1F + -4x2 = 0 + -1F

Reorder the terms:
F + -1F + cos + -4x2 = 0 + -1F

Combine like terms: F + -1F = 0
0 + cos + -4x2 = 0 + -1F
cos + -4x2 = 0 + -1F
Remove the zero:
cos + -4x2 = -1F

Add '-1cos' to each side of the equation.
cos + -1cos + -4x2 = -1F + -1cos

Combine like terms: cos + -1cos = 0
0 + -4x2 = -1F + -1cos
-4x2 = -1F + -1cos

Divide each side by '-4'.
x2 = 0.25F + 0.25cos

Simplifying
x2 = 0.25F + 0.25cos

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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