x^3+9x^2+23x=

Solution for x^3+9x^2+23x= equation:

Simplifying
x3 + 9x2 + 23x = 0

Reorder the terms:
23x + 9x2 + x3 = 0

Solving
23x + 9x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(23 + 9x + 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 '(23 + 9x + x2)' equal to zero and attempt to solve:

Simplifying
23 + 9x + x2 = 0

Solving
23 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-23' to each side of the equation.
23 + 9x + -23 + x2 = 0 + -23

Reorder the terms:
23 + -23 + 9x + x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 9x + x2 = 0 + -23
9x + x2 = 0 + -23

Combine like terms: 0 + -23 = -23
9x + x2 = -23

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -23 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -23 + 20.25

Combine like terms: -23 + 20.25 = -2.75
20.25 + 9x + x2 = -2.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -2.75

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}