F(x)=x^5+2x

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


Simplifying
F(x) = x5 + 2x

Multiply F * x
xF = x5 + 2x

Reorder the terms:
xF = 2x + x5

Solving
xF = 2x + x5

Solving for variable 'x'.

Reorder the terms:
-2x + xF + -1x5 = 2x + x5 + -2x + -1x5

Reorder the terms:
-2x + xF + -1x5 = 2x + -2x + x5 + -1x5

Combine like terms: 2x + -2x = 0
-2x + xF + -1x5 = 0 + x5 + -1x5
-2x + xF + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-2x + xF + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + F + -1x4) = 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 '(-2 + F + -1x4)' equal to zero and attempt to solve:

Simplifying
-2 + F + -1x4 = 0

Solving
-2 + F + -1x4 = 0

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

Add '2' to each side of the equation.
-2 + F + 2 + -1x4 = 0 + 2

Reorder the terms:
-2 + 2 + F + -1x4 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + F + -1x4 = 0 + 2
F + -1x4 = 0 + 2

Combine like terms: 0 + 2 = 2
F + -1x4 = 2

Add '-1F' to each side of the equation.
F + -1F + -1x4 = 2 + -1F

Combine like terms: F + -1F = 0
0 + -1x4 = 2 + -1F
-1x4 = 2 + -1F

Divide each side by '-1'.
x4 = -2 + F

Simplifying
x4 = -2 + 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}

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