F(x)=x^4+64x

Solution for F(x)=x^4+64x equation:

Simplifying
F(x) = x4 + 64x

Multiply F * x
xF = x4 + 64x

Reorder the terms:
xF = 64x + x4

Solving
xF = 64x + x4

Solving for variable 'x'.

Reorder the terms:
-64x + xF + -1x4 = 64x + x4 + -64x + -1x4

Reorder the terms:
-64x + xF + -1x4 = 64x + -64x + x4 + -1x4

Combine like terms: 64x + -64x = 0
-64x + xF + -1x4 = 0 + x4 + -1x4
-64x + xF + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-64x + xF + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + F + -1x3) = 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 '(-64 + F + -1x3)' equal to zero and attempt to solve:

Simplifying
-64 + F + -1x3 = 0

Solving
-64 + F + -1x3 = 0

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

Add '64' to each side of the equation.
-64 + F + 64 + -1x3 = 0 + 64

Reorder the terms:
-64 + 64 + F + -1x3 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + F + -1x3 = 0 + 64
F + -1x3 = 0 + 64

Combine like terms: 0 + 64 = 64
F + -1x3 = 64

Add '-1F' to each side of the equation.
F + -1F + -1x3 = 64 + -1F

Combine like terms: F + -1F = 0
0 + -1x3 = 64 + -1F
-1x3 = 64 + -1F

Divide each side by '-1'.
x3 = -64 + F

Simplifying
x3 = -64 + F

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}