x^3+14x^2+56x=0

Solution for x^3+14x^2+56x=0 equation:

Simplifying
x3 + 14x2 + 56x = 0

Reorder the terms:
56x + 14x2 + x3 = 0

Solving
56x + 14x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(56 + 14x + 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 '(56 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
56 + 14x + x2 = 0

Solving
56 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + 14x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + 14x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 14x + x2 = 0 + -56
14x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
14x + x2 = -56

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -56 + 49

Reorder the terms:
49 + 14x + x2 = -56 + 49

Combine like terms: -56 + 49 = -7
49 + 14x + x2 = -7

Factor a perfect square on the left side:
(x + 7)(x + 7) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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