x^3+15x+56x=0

Solution for x^3+15x+56x=0 equation:

Simplifying
x3 + 15x + 56x = 0

Reorder the terms:
15x + 56x + x3 = 0

Combine like terms: 15x + 56x = 71x
71x + x3 = 0

Solving
71x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(71 + 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 '(71 + x2)' equal to zero and attempt to solve:

Simplifying
71 + x2 = 0

Solving
71 + x2 = 0

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

Add '-71' to each side of the equation.
71 + -71 + x2 = 0 + -71

Combine like terms: 71 + -71 = 0
0 + x2 = 0 + -71
x2 = 0 + -71

Combine like terms: 0 + -71 = -71
x2 = -71

Simplifying
x2 = -71

The solution to this equation could not be determined.

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