w^2+17w-5330=0

Solution for w^2+17w-5330=0 equation:

Simplifying
w2 + 17w + -5330 = 0

Reorder the terms:
-5330 + 17w + w2 = 0

Solving
-5330 + 17w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-82 + -1w)(65 + -1w) = 0

Subproblem 1
Set the factor '(-82 + -1w)' equal to zero and attempt to solve:

Simplifying
-82 + -1w = 0

Solving
-82 + -1w = 0

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

Add '82' to each side of the equation.
-82 + 82 + -1w = 0 + 82

Combine like terms: -82 + 82 = 0
0 + -1w = 0 + 82
-1w = 0 + 82

Combine like terms: 0 + 82 = 82
-1w = 82

Divide each side by '-1'.
w = -82

Simplifying
w = -82
Subproblem 2
Set the factor '(65 + -1w)' equal to zero and attempt to solve:

Simplifying
65 + -1w = 0

Solving
65 + -1w = 0

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

Add '-65' to each side of the equation.
65 + -65 + -1w = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -1w = 0 + -65
-1w = 0 + -65

Combine like terms: 0 + -65 = -65
-1w = -65

Divide each side by '-1'.
w = 65

Simplifying
w = 65
Solution
w = {-82, 65}