49w^2+41w+9=

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Solution for 49w^2+41w+9= equation: 


Simplifying
49w2 + 41w + 9 = 0

Reorder the terms:
9 + 41w + 49w2 = 0

Solving
9 + 41w + 49w2 = 0

Solving for variable 'w'.

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

Divide each side by '49'.
0.1836734694 + 0.8367346939w + w2 = 0

Move the constant term to the right:

Add '-0.1836734694' to each side of the equation.
0.1836734694 + 0.8367346939w + -0.1836734694 + w2 = 0 + -0.1836734694

Reorder the terms:
0.1836734694 + -0.1836734694 + 0.8367346939w + w2 = 0 + -0.1836734694

Combine like terms: 0.1836734694 + -0.1836734694 = 0.0000000000
0.0000000000 + 0.8367346939w + w2 = 0 + -0.1836734694
0.8367346939w + w2 = 0 + -0.1836734694

Combine like terms: 0 + -0.1836734694 = -0.1836734694
0.8367346939w + w2 = -0.1836734694

The w term is 0.8367346939w.  Take half its coefficient (0.418367347).
Square it (0.1750312370) and add it to both sides.

Add '0.1750312370' to each side of the equation.
0.8367346939w + 0.1750312370 + w2 = -0.1836734694 + 0.1750312370

Reorder the terms:
0.1750312370 + 0.8367346939w + w2 = -0.1836734694 + 0.1750312370

Combine like terms: -0.1836734694 + 0.1750312370 = -0.0086422324
0.1750312370 + 0.8367346939w + w2 = -0.0086422324

Factor a perfect square on the left side:
(w + 0.418367347)(w + 0.418367347) = -0.0086422324

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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