s^2+3s+12=0

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Solution for s^2+3s+12=0 equation:


Simplifying
s2 + 3s + 12 = 0

Reorder the terms:
12 + 3s + s2 = 0

Solving
12 + 3s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 3s + -12 + s2 = 0 + -12

Reorder the terms:
12 + -12 + 3s + s2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3s + s2 = 0 + -12
3s + s2 = 0 + -12

Combine like terms: 0 + -12 = -12
3s + s2 = -12

The s term is 3s.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3s + 2.25 + s2 = -12 + 2.25

Reorder the terms:
2.25 + 3s + s2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + 3s + s2 = -9.75

Factor a perfect square on the left side:
(s + 1.5)(s + 1.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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