49w^2+69w+25=0

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Solution for 49w^2+69w+25=0 equation:


Simplifying
49w2 + 69w + 25 = 0

Reorder the terms:
25 + 69w + 49w2 = 0

Solving
25 + 69w + 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'.
0.5102040816 + 1.408163265w + w2 = 0

Move the constant term to the right:

Add '-0.5102040816' to each side of the equation.
0.5102040816 + 1.408163265w + -0.5102040816 + w2 = 0 + -0.5102040816

Reorder the terms:
0.5102040816 + -0.5102040816 + 1.408163265w + w2 = 0 + -0.5102040816

Combine like terms: 0.5102040816 + -0.5102040816 = 0.0000000000
0.0000000000 + 1.408163265w + w2 = 0 + -0.5102040816
1.408163265w + w2 = 0 + -0.5102040816

Combine like terms: 0 + -0.5102040816 = -0.5102040816
1.408163265w + w2 = -0.5102040816

The w term is 1.408163265w.  Take half its coefficient (0.7040816325).
Square it (0.4957309452) and add it to both sides.

Add '0.4957309452' to each side of the equation.
1.408163265w + 0.4957309452 + w2 = -0.5102040816 + 0.4957309452

Reorder the terms:
0.4957309452 + 1.408163265w + w2 = -0.5102040816 + 0.4957309452

Combine like terms: -0.5102040816 + 0.4957309452 = -0.0144731364
0.4957309452 + 1.408163265w + w2 = -0.0144731364

Factor a perfect square on the left side:
(w + 0.7040816325)(w + 0.7040816325) = -0.0144731364

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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