24=(w+2)(w)

Solution for 24=(w+2)(w) equation:

Simplifying
24 = (w + 2)(w)

Reorder the terms:
24 = (2 + w)(w)

Reorder the terms for easier multiplication:
24 = w(2 + w)
24 = (2 * w + w * w)
24 = (2w + w2)

Solving
24 = 2w + w2

Solving for variable 'w'.

Reorder the terms:
24 + -2w + -1w2 = 2w + -2w + w2 + -1w2

Combine like terms: 2w + -2w = 0
24 + -2w + -1w2 = 0 + w2 + -1w2
24 + -2w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
24 + -2w + -1w2 = 0

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

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

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

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

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

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

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

Simplifying
w = 4
Subproblem 2
Set the factor '(6 + w)' equal to zero and attempt to solve:

Simplifying
6 + w = 0

Solving
6 + w = 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 + w = 0 + -6

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

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

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