k^2+k+56=0

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Solution for k^2+k+56=0 equation:


Simplifying
k2 + k + 56 = 0

Reorder the terms:
56 + k + k2 = 0

Solving
56 + k + k2 = 0

Solving for variable 'k'.

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + k + -56 + k2 = 0 + -56

Reorder the terms:
56 + -56 + k + k2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + k + k2 = 0 + -56
k + k2 = 0 + -56

Combine like terms: 0 + -56 = -56
k + k2 = -56

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.
k + 0.25 + k2 = -56 + 0.25

Reorder the terms:
0.25 + k + k2 = -56 + 0.25

Combine like terms: -56 + 0.25 = -55.75
0.25 + k + k2 = -55.75

Factor a perfect square on the left side:
(k + 0.5)(k + 0.5) = -55.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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