x^3-14x+40x=0

Solution for x^3-14x+40x=0 equation:

Simplifying
x3 + -14x + 40x = 0

Reorder the terms:
-14x + 40x + x3 = 0

Combine like terms: -14x + 40x = 26x
26x + x3 = 0

Solving
26x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(26 + x2) = 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 '(26 + x2)' equal to zero and attempt to solve:

Simplifying
26 + x2 = 0

Solving
26 + x2 = 0

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

Add '-26' to each side of the equation.
26 + -26 + x2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x2 = 0 + -26
x2 = 0 + -26

Combine like terms: 0 + -26 = -26
x2 = -26

Simplifying
x2 = -26

The solution to this equation could not be determined.

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