w^2-20w-125=0

Solution for w^2-20w-125=0 equation:

Simplifying
w2 + -20w + -125 = 0

Reorder the terms:
-125 + -20w + w2 = 0

Solving
-125 + -20w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -1w)(25 + -1w) = 0

Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve:

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 0 + 5
-1w = 0 + 5

Combine like terms: 0 + 5 = 5
-1w = 5

Divide each side by '-1'.
w = -5

Simplifying
w = -5
Subproblem 2
Set the factor '(25 + -1w)' equal to zero and attempt to solve:

Simplifying
25 + -1w = 0

Solving
25 + -1w = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1w = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1w = 0 + -25
-1w = 0 + -25

Combine like terms: 0 + -25 = -25
-1w = -25

Divide each side by '-1'.
w = 25

Simplifying
w = 25
Solution
w = {-5, 25}