(w+4)*w-60=0

Solution for (w+4)*w-60=0 equation:

Simplifying
(w + 4) * w + -60 = 0

Reorder the terms:
(4 + w) * w + -60 = 0

Reorder the terms for easier multiplication:
w(4 + w) + -60 = 0
(4 * w + w * w) + -60 = 0
(4w + w2) + -60 = 0

Reorder the terms:
-60 + 4w + w2 = 0

Solving
-60 + 4w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-10 + -1w)(6 + -1w) = 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 '(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 = {-10, 6}