12w^2+19w+44=0

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Solution for 12w^2+19w+44=0 equation:


Simplifying
12w2 + 19w + 44 = 0

Reorder the terms:
44 + 19w + 12w2 = 0

Solving
44 + 19w + 12w2 = 0

Solving for variable 'w'.

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

Divide each side by '12'.
3.666666667 + 1.583333333w + w2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + 1.583333333w + -3.666666667 + w2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + 1.583333333w + w2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + 1.583333333w + w2 = 0 + -3.666666667
1.583333333w + w2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
1.583333333w + w2 = -3.666666667

The w term is 1.583333333w.  Take half its coefficient (0.7916666665).
Square it (0.6267361108) and add it to both sides.

Add '0.6267361108' to each side of the equation.
1.583333333w + 0.6267361108 + w2 = -3.666666667 + 0.6267361108

Reorder the terms:
0.6267361108 + 1.583333333w + w2 = -3.666666667 + 0.6267361108

Combine like terms: -3.666666667 + 0.6267361108 = -3.0399305562
0.6267361108 + 1.583333333w + w2 = -3.0399305562

Factor a perfect square on the left side:
(w + 0.7916666665)(w + 0.7916666665) = -3.0399305562

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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