8W^2-19W+6=0

Solution for 8W^2-19W+6=0 equation:

Simplifying
8W2 + -19W + 6 = 0

Reorder the terms:
6 + -19W + 8W2 = 0

Solving
6 + -19W + 8W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(3 + -8W)(2 + -1W) = 0

Subproblem 1
Set the factor '(3 + -8W)' equal to zero and attempt to solve:

Simplifying
3 + -8W = 0

Solving
3 + -8W = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8W = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8W = 0 + -3
-8W = 0 + -3

Combine like terms: 0 + -3 = -3
-8W = -3

Divide each side by '-8'.
W = 0.375

Simplifying
W = 0.375
Subproblem 2
Set the factor '(2 + -1W)' equal to zero and attempt to solve:

Simplifying
2 + -1W = 0

Solving
2 + -1W = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1W = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1W = 0 + -2
-1W = 0 + -2

Combine like terms: 0 + -2 = -2
-1W = -2

Divide each side by '-1'.
W = 2

Simplifying
W = 2
Solution
W = {0.375, 2}