F(x)=2x^3+5x

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Solution for F(x)=2x^3+5x equation: 


Simplifying
F(x) = 2x3 + 5x

Multiply F * x
xF = 2x3 + 5x

Reorder the terms:
xF = 5x + 2x3

Solving
xF = 5x + 2x3

Solving for variable 'x'.

Reorder the terms:
-5x + xF + -2x3 = 5x + 2x3 + -5x + -2x3

Reorder the terms:
-5x + xF + -2x3 = 5x + -5x + 2x3 + -2x3

Combine like terms: 5x + -5x = 0
-5x + xF + -2x3 = 0 + 2x3 + -2x3
-5x + xF + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-5x + xF + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + F + -2x2) = 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 '(-5 + F + -2x2)' equal to zero and attempt to solve:

Simplifying
-5 + F + -2x2 = 0

Solving
-5 + F + -2x2 = 0

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

Add '5' to each side of the equation.
-5 + F + 5 + -2x2 = 0 + 5

Reorder the terms:
-5 + 5 + F + -2x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + F + -2x2 = 0 + 5
F + -2x2 = 0 + 5

Combine like terms: 0 + 5 = 5
F + -2x2 = 5

Add '-1F' to each side of the equation.
F + -1F + -2x2 = 5 + -1F

Combine like terms: F + -1F = 0
0 + -2x2 = 5 + -1F
-2x2 = 5 + -1F

Divide each side by '-2'.
x2 = -2.5 + 0.5F

Simplifying
x2 = -2.5 + 0.5F

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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