3s^2+s=-1

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Solution for 3s^2+s=-1 equation:


Simplifying
3s2 + s = -1

Reorder the terms:
s + 3s2 = -1

Solving
s + 3s2 = -1

Solving for variable 's'.

Reorder the terms:
1 + s + 3s2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + s + 3s2 = 0

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

Divide each side by '3'.
0.3333333333 + 0.3333333333s + s2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.3333333333s + -0.3333333333 + s2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.3333333333s + s2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.3333333333s + s2 = 0 + -0.3333333333
0.3333333333s + s2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.3333333333s + s2 = -0.3333333333

The s term is s.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.3333333333s + 0.25 + s2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + 0.3333333333s + s2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + 0.3333333333s + s2 = -0.0833333333

Factor a perfect square on the left side:
(s + 0.5)(s + 0.5) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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