(1+2w+3w^2)=0

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Solution for (1+2w+3w^2)=0 equation:


Simplifying
(1 + 2w + 3w2) = 0

Remove parenthesis around (1 + 2w + 3w2)
1 + 2w + 3w2 = 0

Solving
1 + 2w + 3w2 = 0

Solving for variable 'w'.

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

Divide each side by '3'.
0.3333333333 + 0.6666666667w + w2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.6666666667w + -0.3333333333 + w2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.6666666667w + w2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.6666666667w + w2 = 0 + -0.3333333333
0.6666666667w + w2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.6666666667w + w2 = -0.3333333333

The w term is 0.6666666667w.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667w + 0.1111111112 + w2 = -0.3333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667w + w2 = -0.3333333333 + 0.1111111112

Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221
0.1111111112 + 0.6666666667w + w2 = -0.2222222221

Factor a perfect square on the left side:
(w + 0.3333333334)(w + 0.3333333334) = -0.2222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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