w^2+6w-520=0

Solution for w^2+6w-520=0 equation:

Simplifying
w2 + 6w + -520 = 0

Reorder the terms:
-520 + 6w + w2 = 0

Solving
-520 + 6w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-26 + -1w)(20 + -1w) = 0

Subproblem 1
Set the factor '(-26 + -1w)' equal to zero and attempt to solve:

Simplifying
-26 + -1w = 0

Solving
-26 + -1w = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1w = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1w = 0 + 26
-1w = 0 + 26

Combine like terms: 0 + 26 = 26
-1w = 26

Divide each side by '-1'.
w = -26

Simplifying
w = -26
Subproblem 2
Set the factor '(20 + -1w)' equal to zero and attempt to solve:

Simplifying
20 + -1w = 0

Solving
20 + -1w = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1w = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1w = 0 + -20
-1w = 0 + -20

Combine like terms: 0 + -20 = -20
-1w = -20

Divide each side by '-1'.
w = 20

Simplifying
w = 20
Solution
w = {-26, 20}