3s^2+10s+18=0

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Solution for 3s^2+10s+18=0 equation:


Simplifying
3s2 + 10s + 18 = 0

Reorder the terms:
18 + 10s + 3s2 = 0

Solving
18 + 10s + 3s2 = 0

Solving for variable 's'.

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

Divide each side by '3'.
6 + 3.333333333s + s2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3.333333333s + -6 + s2 = 0 + -6

Reorder the terms:
6 + -6 + 3.333333333s + s2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3.333333333s + s2 = 0 + -6
3.333333333s + s2 = 0 + -6

Combine like terms: 0 + -6 = -6
3.333333333s + s2 = -6

The s term is 3.333333333s.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333s + 2.777777779 + s2 = -6 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333s + s2 = -6 + 2.777777779

Combine like terms: -6 + 2.777777779 = -3.222222221
2.777777779 + 3.333333333s + s2 = -3.222222221

Factor a perfect square on the left side:
(s + 1.666666667)(s + 1.666666667) = -3.222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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