w(w-15)=100

Solution for w(w-15)=100 equation:

Simplifying
w(w + -15) = 100

Reorder the terms:
w(-15 + w) = 100
(-15 * w + w * w) = 100
(-15w + w2) = 100

Solving
-15w + w2 = 100

Solving for variable 'w'.

Reorder the terms:
-100 + -15w + w2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + -15w + w2 = 0

Factor a trinomial.
(-5 + -1w)(20 + -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 '(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 = {-5, 20}