k^2+3ak+k=0

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Solution for k^2+3ak+k=0 equation: 


Simplifying
k2 + 3ak + k = 0

Reorder the terms:
3ak + k + k2 = 0

Solving
3ak + k + k2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1k' to each side of the equation.
3ak + k + -1k + k2 = 0 + -1k

Combine like terms: k + -1k = 0
3ak + 0 + k2 = 0 + -1k
3ak + k2 = 0 + -1k
Remove the zero:
3ak + k2 = -1k

Add '-1k2' to each side of the equation.
3ak + k2 + -1k2 = -1k + -1k2

Combine like terms: k2 + -1k2 = 0
3ak + 0 = -1k + -1k2
3ak = -1k + -1k2

Divide each side by '3k'.
a = -0.3333333333 + -0.3333333333k

Simplifying
a = -0.3333333333 + -0.3333333333k

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