-W^2+5W-4=0

Solution for -W^2+5W-4=0 equation:

Simplifying
-1W2 + 5W + -4 = 0

Reorder the terms:
-4 + 5W + -1W2 = 0

Solving
-4 + 5W + -1W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(-4 + W)(1 + -1W) = 0

Subproblem 1
Set the factor '(-4 + W)' equal to zero and attempt to solve:

Simplifying
-4 + W = 0

Solving
-4 + W = 0

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

Add '4' to each side of the equation.
-4 + 4 + W = 0 + 4

Combine like terms: -4 + 4 = 0
0 + W = 0 + 4
W = 0 + 4

Combine like terms: 0 + 4 = 4
W = 4

Simplifying
W = 4
Subproblem 2
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
Solution
W = {4, 1}