F(x)=3x^3+7x

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Solution for F(x)=3x^3+7x equation: 


Simplifying
F(x) = 3x3 + 7x

Multiply F * x
xF = 3x3 + 7x

Reorder the terms:
xF = 7x + 3x3

Solving
xF = 7x + 3x3

Solving for variable 'x'.

Reorder the terms:
-7x + xF + -3x3 = 7x + 3x3 + -7x + -3x3

Reorder the terms:
-7x + xF + -3x3 = 7x + -7x + 3x3 + -3x3

Combine like terms: 7x + -7x = 0
-7x + xF + -3x3 = 0 + 3x3 + -3x3
-7x + xF + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-7x + xF + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + F + -3x2) = 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 '(-7 + F + -3x2)' equal to zero and attempt to solve:

Simplifying
-7 + F + -3x2 = 0

Solving
-7 + F + -3x2 = 0

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

Add '7' to each side of the equation.
-7 + F + 7 + -3x2 = 0 + 7

Reorder the terms:
-7 + 7 + F + -3x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + F + -3x2 = 0 + 7
F + -3x2 = 0 + 7

Combine like terms: 0 + 7 = 7
F + -3x2 = 7

Add '-1F' to each side of the equation.
F + -1F + -3x2 = 7 + -1F

Combine like terms: F + -1F = 0
0 + -3x2 = 7 + -1F
-3x2 = 7 + -1F

Divide each side by '-3'.
x2 = -2.333333333 + 0.3333333333F

Simplifying
x2 = -2.333333333 + 0.3333333333F

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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