F(x)=cos(pix^5+5x^2)

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Solution for F(x)=cos(pix^5+5x^2) equation: 


Simplifying
F(x) = cos(pix5 + 5x2)

Multiply F * x
xF = cos(pix5 + 5x2)
xF = (ipx5 * cos + 5x2 * cos)
xF = (ciopsx5 + 5cosx2)

Solving
xF = ciopsx5 + 5cosx2

Solving for variable 'x'.

Reorder the terms:
-1ciopsx5 + -5cosx2 + xF = ciopsx5 + 5cosx2 + -1ciopsx5 + -5cosx2

Reorder the terms:
-1ciopsx5 + -5cosx2 + xF = ciopsx5 + -1ciopsx5 + 5cosx2 + -5cosx2

Combine like terms: ciopsx5 + -1ciopsx5 = 0
-1ciopsx5 + -5cosx2 + xF = 0 + 5cosx2 + -5cosx2
-1ciopsx5 + -5cosx2 + xF = 5cosx2 + -5cosx2

Combine like terms: 5cosx2 + -5cosx2 = 0
-1ciopsx5 + -5cosx2 + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1ciopsx4 + -5cosx + 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 '(-1ciopsx4 + -5cosx + F)' equal to zero and attempt to solve:

Simplifying
-1ciopsx4 + -5cosx + F = 0

Reorder the terms:
F + -1ciopsx4 + -5cosx = 0

Solving
F + -1ciopsx4 + -5cosx = 0

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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