0.5k^2+k+1.5=0

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Solution for 0.5k^2+k+1.5=0 equation:


Simplifying
0.5k2 + k + 1.5 = 0

Reorder the terms:
1.5 + k + 0.5k2 = 0

Solving
1.5 + k + 0.5k2 = 0

Solving for variable 'k'.

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

Divide each side by '0.5'.
3 + 2k + k2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2k + -3 + k2 = 0 + -3

Reorder the terms:
3 + -3 + 2k + k2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2k + k2 = 0 + -3
2k + k2 = 0 + -3

Combine like terms: 0 + -3 = -3
2k + k2 = -3

The k term is k.  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.
2k + 0.25 + k2 = -3 + 0.25

Reorder the terms:
0.25 + 2k + k2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + 2k + k2 = -2.75

Factor a perfect square on the left side:
(k + 0.5)(k + 0.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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