x(x^2+24x+44)=0

Solution for x(x^2+24x+44)=0 equation:

Simplifying
x(x2 + 24x + 44) = 0

Reorder the terms:
x(44 + 24x + x2) = 0
(44 * x + 24x * x + x2 * x) = 0
(44x + 24x2 + x3) = 0

Solving
44x + 24x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(44 + 24x + x2) = 0

Factor a trinomial.
x((22 + x)(2 + x)) = 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 '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -22, -2}