9.44w^2-16w+11.704=0

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Solution for 9.44w^2-16w+11.704=0 equation:


Simplifying
9.44w2 + -16w + 11.704 = 0

Reorder the terms:
11.704 + -16w + 9.44w2 = 0

Solving
11.704 + -16w + 9.44w2 = 0

Solving for variable 'w'.

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

Divide each side by '9.44'.
1.239830508 + -1.694915254w + w2 = 0

Move the constant term to the right:

Add '-1.239830508' to each side of the equation.
1.239830508 + -1.694915254w + -1.239830508 + w2 = 0 + -1.239830508

Reorder the terms:
1.239830508 + -1.239830508 + -1.694915254w + w2 = 0 + -1.239830508

Combine like terms: 1.239830508 + -1.239830508 = 0.000000000
0.000000000 + -1.694915254w + w2 = 0 + -1.239830508
-1.694915254w + w2 = 0 + -1.239830508

Combine like terms: 0 + -1.239830508 = -1.239830508
-1.694915254w + w2 = -1.239830508

The w term is -1.694915254w.  Take half its coefficient (-0.847457627).
Square it (0.7181844296) and add it to both sides.

Add '0.7181844296' to each side of the equation.
-1.694915254w + 0.7181844296 + w2 = -1.239830508 + 0.7181844296

Reorder the terms:
0.7181844296 + -1.694915254w + w2 = -1.239830508 + 0.7181844296

Combine like terms: -1.239830508 + 0.7181844296 = -0.5216460784
0.7181844296 + -1.694915254w + w2 = -0.5216460784

Factor a perfect square on the left side:
(w + -0.847457627)(w + -0.847457627) = -0.5216460784

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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