W^2-19W-20=0

Solution for W^2-19W-20=0 equation:

Simplifying
W2 + -19W + -20 = 0

Reorder the terms:
-20 + -19W + W2 = 0

Solving
-20 + -19W + W2 = 0

Solving for variable 'W'.

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

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

Simplifying
-1 + -1W = 0

Solving
-1 + -1W = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1W = 0 + 1
-1W = 0 + 1

Combine like terms: 0 + 1 = 1
-1W = 1

Divide each side by '-1'.
W = -1

Simplifying
W = -1
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 = {-1, 20}