X(X+2)=440

Solution for X(X+2)=440 equation:

Simplifying
X(X + 2) = 440

Reorder the terms:
X(2 + X) = 440
(2 * X + X * X) = 440
(2X + X2) = 440

Solving
2X + X2 = 440

Solving for variable 'X'.

Reorder the terms:
-440 + 2X + X2 = 440 + -440

Combine like terms: 440 + -440 = 0
-440 + 2X + X2 = 0

Factor a trinomial.
(-22 + -1X)(20 + -1X) = 0

Subproblem 1
Set the factor '(-22 + -1X)' equal to zero and attempt to solve:

Simplifying
-22 + -1X = 0

Solving
-22 + -1X = 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 + -1X = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1X = 0 + 22
-1X = 0 + 22

Combine like terms: 0 + 22 = 22
-1X = 22

Divide each side by '-1'.
X = -22

Simplifying
X = -22
Subproblem 2
Set the factor '(20 + -1X)' equal to zero and attempt to solve:

Simplifying
20 + -1X = 0

Solving
20 + -1X = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1X = 0 + -20
-1X = 0 + -20

Combine like terms: 0 + -20 = -20
-1X = -20

Divide each side by '-1'.
X = 20

Simplifying
X = 20
Solution
X = {-22, 20}