35w^2-66w+16=0

Solution for 35w^2-66w+16=0 equation:

Simplifying
35w2 + -66w + 16 = 0

Reorder the terms:
16 + -66w + 35w2 = 0

Solving
16 + -66w + 35w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2 + -7w)(8 + -5w) = 0

Subproblem 1
Set the factor '(2 + -7w)' equal to zero and attempt to solve:

Simplifying
2 + -7w = 0

Solving
2 + -7w = 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 + -7w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7w = 0 + -2
-7w = 0 + -2

Combine like terms: 0 + -2 = -2
-7w = -2

Divide each side by '-7'.
w = 0.2857142857

Simplifying
w = 0.2857142857
Subproblem 2
Set the factor '(8 + -5w)' equal to zero and attempt to solve:

Simplifying
8 + -5w = 0

Solving
8 + -5w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5w = 0 + -8
-5w = 0 + -8

Combine like terms: 0 + -8 = -8
-5w = -8

Divide each side by '-5'.
w = 1.6

Simplifying
w = 1.6
Solution
w = {0.2857142857, 1.6}