2K(K+3)=-9

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Solution for 2K(K+3)=-9 equation:


Simplifying
2K(K + 3) = -9

Reorder the terms:
2K(3 + K) = -9
(3 * 2K + K * 2K) = -9
(6K + 2K2) = -9

Solving
6K + 2K2 = -9

Solving for variable 'K'.

Reorder the terms:
9 + 6K + 2K2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 6K + 2K2 = 0

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

Divide each side by '2'.
4.5 + 3K + K2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 3K + -4.5 + K2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 3K + K2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 3K + K2 = 0 + -4.5
3K + K2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
3K + K2 = -4.5

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 = -4.5 + 2.25

Reorder the terms:
2.25 + 3K + K2 = -4.5 + 2.25

Combine like terms: -4.5 + 2.25 = -2.25
2.25 + 3K + K2 = -2.25

Factor a perfect square on the left side:
(K + 1.5)(K + 1.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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