X(X+2)=8

Solution for X(X+2)=8 equation:

Simplifying
X(X + 2) = 8

Reorder the terms:
X(2 + X) = 8
(2 * X + X * X) = 8
(2X + X2) = 8

Solving
2X + X2 = 8

Solving for variable 'X'.

Reorder the terms:
-8 + 2X + X2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 2X + X2 = 0

Factor a trinomial.
(-4 + -1X)(2 + -1X) = 0

Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve:

Simplifying
-4 + -1X = 0

Solving
-4 + -1X = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1X = 0 + 4
-1X = 0 + 4

Combine like terms: 0 + 4 = 4
-1X = 4

Divide each side by '-1'.
X = -4

Simplifying
X = -4
Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 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 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-4, 2}