180=(w+8)(w)

Solution for 180=(w+8)(w) equation:

Simplifying
180 = (w + 8)(w)

Reorder the terms:
180 = (8 + w)(w)

Reorder the terms for easier multiplication:
180 = w(8 + w)
180 = (8 * w + w * w)
180 = (8w + w2)

Solving
180 = 8w + w2

Solving for variable 'w'.

Reorder the terms:
180 + -8w + -1w2 = 8w + -8w + w2 + -1w2

Combine like terms: 8w + -8w = 0
180 + -8w + -1w2 = 0 + w2 + -1w2
180 + -8w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
180 + -8w + -1w2 = 0

Factor a trinomial.
(10 + -1w)(18 + w) = 0

Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

Simplifying
w = 10
Subproblem 2
Set the factor '(18 + w)' equal to zero and attempt to solve:

Simplifying
18 + w = 0

Solving
18 + w = 0

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

Add '-18' to each side of the equation.
18 + -18 + w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + w = 0 + -18
w = 0 + -18

Combine like terms: 0 + -18 = -18
w = -18

Simplifying
w = -18
Solution
w = {10, -18}