s^2+2.008s+12.81=0

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Solution for s^2+2.008s+12.81=0 equation:


Simplifying
s2 + 2.008s + 12.81 = 0

Reorder the terms:
12.81 + 2.008s + s2 = 0

Solving
12.81 + 2.008s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-12.81' to each side of the equation.
12.81 + 2.008s + -12.81 + s2 = 0 + -12.81

Reorder the terms:
12.81 + -12.81 + 2.008s + s2 = 0 + -12.81

Combine like terms: 12.81 + -12.81 = 0.00
0.00 + 2.008s + s2 = 0 + -12.81
2.008s + s2 = 0 + -12.81

Combine like terms: 0 + -12.81 = -12.81
2.008s + s2 = -12.81

The s term is 2.008s.  Take half its coefficient (1.004).
Square it (1.008016) and add it to both sides.

Add '1.008016' to each side of the equation.
2.008s + 1.008016 + s2 = -12.81 + 1.008016

Reorder the terms:
1.008016 + 2.008s + s2 = -12.81 + 1.008016

Combine like terms: -12.81 + 1.008016 = -11.801984
1.008016 + 2.008s + s2 = -11.801984

Factor a perfect square on the left side:
(s + 1.004)(s + 1.004) = -11.801984

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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