k^2+3k=-54

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Solution for k^2+3k=-54 equation:


Simplifying
k2 + 3k = -54

Reorder the terms:
3k + k2 = -54

Solving
3k + k2 = -54

Solving for variable 'k'.

Reorder the terms:
54 + 3k + k2 = -54 + 54

Combine like terms: -54 + 54 = 0
54 + 3k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + 3k + -54 + k2 = 0 + -54

Reorder the terms:
54 + -54 + 3k + k2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + 3k + k2 = 0 + -54
3k + k2 = 0 + -54

Combine like terms: 0 + -54 = -54
3k + k2 = -54

The k term is 3k.  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.
3k + 2.25 + k2 = -54 + 2.25

Reorder the terms:
2.25 + 3k + k2 = -54 + 2.25

Combine like terms: -54 + 2.25 = -51.75
2.25 + 3k + k2 = -51.75

Factor a perfect square on the left side:
(k + 1.5)(k + 1.5) = -51.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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