(2w^2+2w)+(9w^2+4w+3)=

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Solution for (2w^2+2w)+(9w^2+4w+3)= equation:


Simplifying
(2w2 + 2w) + (9w2 + 4w + 3) = 0

Reorder the terms:
(2w + 2w2) + (9w2 + 4w + 3) = 0

Remove parenthesis around (2w + 2w2)
2w + 2w2 + (9w2 + 4w + 3) = 0

Reorder the terms:
2w + 2w2 + (3 + 4w + 9w2) = 0

Remove parenthesis around (3 + 4w + 9w2)
2w + 2w2 + 3 + 4w + 9w2 = 0

Reorder the terms:
3 + 2w + 4w + 2w2 + 9w2 = 0

Combine like terms: 2w + 4w = 6w
3 + 6w + 2w2 + 9w2 = 0

Combine like terms: 2w2 + 9w2 = 11w2
3 + 6w + 11w2 = 0

Solving
3 + 6w + 11w2 = 0

Solving for variable 'w'.

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

Divide each side by '11'.
0.2727272727 + 0.5454545455w + w2 = 0

Move the constant term to the right:

Add '-0.2727272727' to each side of the equation.
0.2727272727 + 0.5454545455w + -0.2727272727 + w2 = 0 + -0.2727272727

Reorder the terms:
0.2727272727 + -0.2727272727 + 0.5454545455w + w2 = 0 + -0.2727272727

Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000
0.0000000000 + 0.5454545455w + w2 = 0 + -0.2727272727
0.5454545455w + w2 = 0 + -0.2727272727

Combine like terms: 0 + -0.2727272727 = -0.2727272727
0.5454545455w + w2 = -0.2727272727

The w term is 0.5454545455w.  Take half its coefficient (0.2727272728).
Square it (0.07438016533) and add it to both sides.

Add '0.07438016533' to each side of the equation.
0.5454545455w + 0.07438016533 + w2 = -0.2727272727 + 0.07438016533

Reorder the terms:
0.07438016533 + 0.5454545455w + w2 = -0.2727272727 + 0.07438016533

Combine like terms: -0.2727272727 + 0.07438016533 = -0.19834710737
0.07438016533 + 0.5454545455w + w2 = -0.19834710737

Factor a perfect square on the left side:
(w + 0.2727272728)(w + 0.2727272728) = -0.19834710737

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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