w^2-28w-5280=0

Solution for w^2-28w-5280=0 equation:

Simplifying
w2 + -28w + -5280 = 0

Reorder the terms:
-5280 + -28w + w2 = 0

Solving
-5280 + -28w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-60 + -1w)(88 + -1w) = 0

Subproblem 1
Set the factor '(-60 + -1w)' equal to zero and attempt to solve:

Simplifying
-60 + -1w = 0

Solving
-60 + -1w = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1w = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1w = 0 + 60
-1w = 0 + 60

Combine like terms: 0 + 60 = 60
-1w = 60

Divide each side by '-1'.
w = -60

Simplifying
w = -60
Subproblem 2
Set the factor '(88 + -1w)' equal to zero and attempt to solve:

Simplifying
88 + -1w = 0

Solving
88 + -1w = 0

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

Add '-88' to each side of the equation.
88 + -88 + -1w = 0 + -88

Combine like terms: 88 + -88 = 0
0 + -1w = 0 + -88
-1w = 0 + -88

Combine like terms: 0 + -88 = -88
-1w = -88

Divide each side by '-1'.
w = 88

Simplifying
w = 88
Solution
w = {-60, 88}