48=(X+2)*X*2

Solution for 48=(X+2)*X*2 equation:

Simplifying
48 = (X + 2) * X * 2

Reorder the terms:
48 = (2 + X) * X * 2

Reorder the terms for easier multiplication:
48 = 2X(2 + X)
48 = (2 * 2X + X * 2X)
48 = (4X + 2X2)

Solving
48 = 4X + 2X2

Solving for variable 'X'.

Reorder the terms:
48 + -4X + -2X2 = 4X + -4X + 2X2 + -2X2

Combine like terms: 4X + -4X = 0
48 + -4X + -2X2 = 0 + 2X2 + -2X2
48 + -4X + -2X2 = 2X2 + -2X2

Combine like terms: 2X2 + -2X2 = 0
48 + -4X + -2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -2X + -1X2) = 0

Factor a trinomial.
2((4 + -1X)(6 + X)) = 0

Ignore the factor 2.
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 '(6 + X)' equal to zero and attempt to solve:

Simplifying
6 + X = 0

Solving
6 + X = 0

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

Add '-6' to each side of the equation.
6 + -6 + X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + X = 0 + -6
X = 0 + -6

Combine like terms: 0 + -6 = -6
X = -6

Simplifying
X = -6
Solution
X = {4, -6}