-5w^2+19w-14=0

Solution for -5w^2+19w-14=0 equation:

Simplifying
-5w2 + 19w + -14 = 0

Reorder the terms:
-14 + 19w + -5w2 = 0

Solving
-14 + 19w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-14 + 5w)(1 + -1w) = 0

Subproblem 1
Set the factor '(-14 + 5w)' equal to zero and attempt to solve:

Simplifying
-14 + 5w = 0

Solving
-14 + 5w = 0

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

Add '14' to each side of the equation.
-14 + 14 + 5w = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5w = 0 + 14
5w = 0 + 14

Combine like terms: 0 + 14 = 14
5w = 14

Divide each side by '5'.
w = 2.8

Simplifying
w = 2.8
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 = {2.8, 1}