(-9w^2-4w+9)-(5w^2-5w-2)+(-9w^2-9w-1)=

Solution for (-9w^2-4w+9)-(5w^2-5w-2)+(-9w^2-9w-1)= equation:

Simplifying
(-9w2 + -4w + 9) + -1(5w2 + -5w + -2) + (-9w2 + -9w + -1) = 0

Reorder the terms:
(9 + -4w + -9w2) + -1(5w2 + -5w + -2) + (-9w2 + -9w + -1) = 0

Remove parenthesis around (9 + -4w + -9w2)
9 + -4w + -9w2 + -1(5w2 + -5w + -2) + (-9w2 + -9w + -1) = 0

Reorder the terms:
9 + -4w + -9w2 + -1(-2 + -5w + 5w2) + (-9w2 + -9w + -1) = 0
9 + -4w + -9w2 + (-2 * -1 + -5w * -1 + 5w2 * -1) + (-9w2 + -9w + -1) = 0
9 + -4w + -9w2 + (2 + 5w + -5w2) + (-9w2 + -9w + -1) = 0

Reorder the terms:
9 + -4w + -9w2 + 2 + 5w + -5w2 + (-1 + -9w + -9w2) = 0

Remove parenthesis around (-1 + -9w + -9w2)
9 + -4w + -9w2 + 2 + 5w + -5w2 + -1 + -9w + -9w2 = 0

Reorder the terms:
9 + 2 + -1 + -4w + 5w + -9w + -9w2 + -5w2 + -9w2 = 0

Combine like terms: 9 + 2 = 11
11 + -1 + -4w + 5w + -9w + -9w2 + -5w2 + -9w2 = 0

Combine like terms: 11 + -1 = 10
10 + -4w + 5w + -9w + -9w2 + -5w2 + -9w2 = 0

Combine like terms: -4w + 5w = 1w
10 + 1w + -9w + -9w2 + -5w2 + -9w2 = 0

Combine like terms: 1w + -9w = -8w
10 + -8w + -9w2 + -5w2 + -9w2 = 0

Combine like terms: -9w2 + -5w2 = -14w2
10 + -8w + -14w2 + -9w2 = 0

Combine like terms: -14w2 + -9w2 = -23w2
10 + -8w + -23w2 = 0

Solving
10 + -8w + -23w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
-23 the coefficient of the squared term: 

Divide each side by '-23'.
-0.4347826087 + 0.347826087w + w2 = 0

Move the constant term to the right:

Add '0.4347826087' to each side of the equation.
-0.4347826087 + 0.347826087w + 0.4347826087 + w2 = 0 + 0.4347826087

Reorder the terms:
-0.4347826087 + 0.4347826087 + 0.347826087w + w2 = 0 + 0.4347826087

Combine like terms: -0.4347826087 + 0.4347826087 = 0.0000000000
0.0000000000 + 0.347826087w + w2 = 0 + 0.4347826087
0.347826087w + w2 = 0 + 0.4347826087

Combine like terms: 0 + 0.4347826087 = 0.4347826087
0.347826087w + w2 = 0.4347826087

The w term is 0.347826087w.  Take half its coefficient (0.1739130435).
Square it (0.03024574670) and add it to both sides.

Add '0.03024574670' to each side of the equation.
0.347826087w + 0.03024574670 + w2 = 0.4347826087 + 0.03024574670

Reorder the terms:
0.03024574670 + 0.347826087w + w2 = 0.4347826087 + 0.03024574670

Combine like terms: 0.4347826087 + 0.03024574670 = 0.4650283554
0.03024574670 + 0.347826087w + w2 = 0.4650283554

Factor a perfect square on the left side:
(w + 0.1739130435)(w + 0.1739130435) = 0.4650283554

Calculate the square root of the right side: 0.681929876

Break this problem into two subproblems by setting 
(w + 0.1739130435) equal to 0.681929876 and -0.681929876.

Subproblem 1
w + 0.1739130435 = 0.681929876

Simplifying
w + 0.1739130435 = 0.681929876

Reorder the terms:
0.1739130435 + w = 0.681929876

Solving
0.1739130435 + w = 0.681929876

Solving for variable 'w'.

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

Add '-0.1739130435' to each side of the equation.
0.1739130435 + -0.1739130435 + w = 0.681929876 + -0.1739130435

Combine like terms: 0.1739130435 + -0.1739130435 = 0.0000000000
0.0000000000 + w = 0.681929876 + -0.1739130435
w = 0.681929876 + -0.1739130435

Combine like terms: 0.681929876 + -0.1739130435 = 0.5080168325
w = 0.5080168325

Simplifying
w = 0.5080168325

Subproblem 2
w + 0.1739130435 = -0.681929876

Simplifying
w + 0.1739130435 = -0.681929876

Reorder the terms:
0.1739130435 + w = -0.681929876

Solving
0.1739130435 + w = -0.681929876

Solving for variable 'w'.

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

Add '-0.1739130435' to each side of the equation.
0.1739130435 + -0.1739130435 + w = -0.681929876 + -0.1739130435

Combine like terms: 0.1739130435 + -0.1739130435 = 0.0000000000
0.0000000000 + w = -0.681929876 + -0.1739130435
w = -0.681929876 + -0.1739130435

Combine like terms: -0.681929876 + -0.1739130435 = -0.8558429195
w = -0.8558429195

Simplifying
w = -0.8558429195

Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {0.5080168325, -0.8558429195}