F(x)=5x^3-7x

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Solution for F(x)=5x^3-7x equation: 


Simplifying
F(x) = 5x3 + -7x

Multiply F * x
xF = 5x3 + -7x

Reorder the terms:
xF = -7x + 5x3

Solving
xF = -7x + 5x3

Solving for variable 'x'.

Reorder the terms:
7x + xF + -5x3 = -7x + 5x3 + 7x + -5x3

Reorder the terms:
7x + xF + -5x3 = -7x + 7x + 5x3 + -5x3

Combine like terms: -7x + 7x = 0
7x + xF + -5x3 = 0 + 5x3 + -5x3
7x + xF + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
7x + xF + -5x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + F + -5x2) = 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 + -5x2)' equal to zero and attempt to solve:

Simplifying
7 + F + -5x2 = 0

Solving
7 + F + -5x2 = 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 + -5x2 = 0 + -7

Reorder the terms:
7 + -7 + F + -5x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + F + -5x2 = 0 + -7
F + -5x2 = 0 + -7

Combine like terms: 0 + -7 = -7
F + -5x2 = -7

Add '-1F' to each side of the equation.
F + -1F + -5x2 = -7 + -1F

Combine like terms: F + -1F = 0
0 + -5x2 = -7 + -1F
-5x2 = -7 + -1F

Divide each side by '-5'.
x2 = 1.4 + 0.2F

Simplifying
x2 = 1.4 + 0.2F

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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