16w^2-19w+3=0

Solution for 16w^2-19w+3=0 equation:

Simplifying
16w2 + -19w + 3 = 0

Reorder the terms:
3 + -19w + 16w2 = 0

Solving
3 + -19w + 16w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + -16w)(1 + -1w) = 0

Subproblem 1
Set the factor '(3 + -16w)' equal to zero and attempt to solve:

Simplifying
3 + -16w = 0

Solving
3 + -16w = 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 + -16w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -16w = 0 + -3
-16w = 0 + -3

Combine like terms: 0 + -3 = -3
-16w = -3

Divide each side by '-16'.
w = 0.1875

Simplifying
w = 0.1875
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 = {0.1875, 1}