(W+2)W=48

Solution for (W+2)W=48 equation:

Simplifying
(W + 2) * W = 48

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

Reorder the terms for easier multiplication:
W(2 + W) = 48
(2 * W + W * W) = 48
(2W + W2) = 48

Solving
2W + W2 = 48

Solving for variable 'W'.

Reorder the terms:
-48 + 2W + W2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 2W + W2 = 0

Factor a trinomial.
(-8 + -1W)(6 + -1W) = 0

Subproblem 1
Set the factor '(-8 + -1W)' equal to zero and attempt to solve:

Simplifying
-8 + -1W = 0

Solving
-8 + -1W = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1W = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1W = 0 + 8
-1W = 0 + 8

Combine like terms: 0 + 8 = 8
-1W = 8

Divide each side by '-1'.
W = -8

Simplifying
W = -8
Subproblem 2
Set the factor '(6 + -1W)' equal to zero and attempt to solve:

Simplifying
6 + -1W = 0

Solving
6 + -1W = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1W = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1W = 0 + -6
-1W = 0 + -6

Combine like terms: 0 + -6 = -6
-1W = -6

Divide each side by '-1'.
W = 6

Simplifying
W = 6
Solution
W = {-8, 6}