49w^2+35w+6=0

Solution for 49w^2+35w+6=0 equation:

Simplifying
49w2 + 35w + 6 = 0

Reorder the terms:
6 + 35w + 49w2 = 0

Solving
6 + 35w + 49w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + 7w)(2 + 7w) = 0

Subproblem 1
Set the factor '(3 + 7w)' equal to zero and attempt to solve:

Simplifying
3 + 7w = 0

Solving
3 + 7w = 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 + 7w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7w = 0 + -3
7w = 0 + -3

Combine like terms: 0 + -3 = -3
7w = -3

Divide each side by '7'.
w = -0.4285714286

Simplifying
w = -0.4285714286
Subproblem 2
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
Solution
w = {-0.4285714286, -0.2857142857}