16s*16s+56s+49=0

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Solution for 16s*16s+56s+49=0 equation:


Simplifying
16s * 16s + 56s + 49 = 0

Reorder the terms for easier multiplication:
16 * 16s * s + 56s + 49 = 0

Multiply 16 * 16
256s * s + 56s + 49 = 0

Multiply s * s
256s2 + 56s + 49 = 0

Reorder the terms:
49 + 56s + 256s2 = 0

Solving
49 + 56s + 256s2 = 0

Solving for variable 's'.

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

Divide each side by '256'.
0.19140625 + 0.21875s + s2 = 0

Move the constant term to the right:

Add '-0.19140625' to each side of the equation.
0.19140625 + 0.21875s + -0.19140625 + s2 = 0 + -0.19140625

Reorder the terms:
0.19140625 + -0.19140625 + 0.21875s + s2 = 0 + -0.19140625

Combine like terms: 0.19140625 + -0.19140625 = 0.00000000
0.00000000 + 0.21875s + s2 = 0 + -0.19140625
0.21875s + s2 = 0 + -0.19140625

Combine like terms: 0 + -0.19140625 = -0.19140625
0.21875s + s2 = -0.19140625

The s term is 0.21875s.  Take half its coefficient (0.109375).
Square it (0.01196289063) and add it to both sides.

Add '0.01196289063' to each side of the equation.
0.21875s + 0.01196289063 + s2 = -0.19140625 + 0.01196289063

Reorder the terms:
0.01196289063 + 0.21875s + s2 = -0.19140625 + 0.01196289063

Combine like terms: -0.19140625 + 0.01196289063 = -0.17944335937
0.01196289063 + 0.21875s + s2 = -0.17944335937

Factor a perfect square on the left side:
(s + 0.109375)(s + 0.109375) = -0.17944335937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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