-7w^2-18w+9=0

Solution for -7w^2-18w+9=0 equation:

Simplifying
-7w2 + -18w + 9 = 0

Reorder the terms:
9 + -18w + -7w2 = 0

Solving
9 + -18w + -7w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + -7w)(3 + w) = 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 '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

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

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

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

Simplifying
w = -3
Solution
w = {0.4285714286, -3}