1.125s^2+2s+1=0

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Solution for 1.125s^2+2s+1=0 equation:


Simplifying
1.125s2 + 2s + 1 = 0

Reorder the terms:
1 + 2s + 1.125s2 = 0

Solving
1 + 2s + 1.125s2 = 0

Solving for variable 's'.

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

Divide each side by '1.125'.
0.8888888889 + 1.777777778s + s2 = 0

Move the constant term to the right:

Add '-0.8888888889' to each side of the equation.
0.8888888889 + 1.777777778s + -0.8888888889 + s2 = 0 + -0.8888888889

Reorder the terms:
0.8888888889 + -0.8888888889 + 1.777777778s + s2 = 0 + -0.8888888889

Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000
0.0000000000 + 1.777777778s + s2 = 0 + -0.8888888889
1.777777778s + s2 = 0 + -0.8888888889

Combine like terms: 0 + -0.8888888889 = -0.8888888889
1.777777778s + s2 = -0.8888888889

The s term is 1.777777778s.  Take half its coefficient (0.888888889).
Square it (0.7901234570) and add it to both sides.

Add '0.7901234570' to each side of the equation.
1.777777778s + 0.7901234570 + s2 = -0.8888888889 + 0.7901234570

Reorder the terms:
0.7901234570 + 1.777777778s + s2 = -0.8888888889 + 0.7901234570

Combine like terms: -0.8888888889 + 0.7901234570 = -0.0987654319
0.7901234570 + 1.777777778s + s2 = -0.0987654319

Factor a perfect square on the left side:
(s + 0.888888889)(s + 0.888888889) = -0.0987654319

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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