0=100-25w+w^2

Solution for 0=100-25w+w^2 equation:

Simplifying
0 = 100 + -25w + w2

Solving
0 = 100 + -25w + w2

Solving for variable 'w'.

Combine like terms: 0 + -100 = -100
-100 + 25w + -1w2 = 100 + -25w + w2 + -100 + 25w + -1w2

Reorder the terms:
-100 + 25w + -1w2 = 100 + -100 + -25w + 25w + w2 + -1w2

Combine like terms: 100 + -100 = 0
-100 + 25w + -1w2 = 0 + -25w + 25w + w2 + -1w2
-100 + 25w + -1w2 = -25w + 25w + w2 + -1w2

Combine like terms: -25w + 25w = 0
-100 + 25w + -1w2 = 0 + w2 + -1w2
-100 + 25w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-100 + 25w + -1w2 = 0

Factor a trinomial.
(-20 + w)(5 + -1w) = 0

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

Simplifying
-20 + w = 0

Solving
-20 + w = 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 + w = 0 + 20

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

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

Simplifying
w = 20
Subproblem 2
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
Solution
w = {20, 5}