15-[2-3k]k=2

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Solution for 15-[2-3k]k=2 equation: 


Simplifying
15 + -1[2 + -3k] * k = 2

Reorder the terms for easier multiplication:
15 + -1k[2 + -3k] = 2
15 + [2 * -1k + -3k * -1k] = 2
15 + [-2k + 3k2] = 2

Solving
15 + -2k + 3k2 = 2

Solving for variable 'k'.

Reorder the terms:
15 + -2 + -2k + 3k2 = 2 + -2

Combine like terms: 15 + -2 = 13
13 + -2k + 3k2 = 2 + -2

Combine like terms: 2 + -2 = 0
13 + -2k + 3k2 = 0

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

Divide each side by '3'.
4.333333333 + -0.6666666667k + k2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -0.6666666667k + -4.333333333 + k2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -0.6666666667k + k2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -0.6666666667k + k2 = 0 + -4.333333333
-0.6666666667k + k2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-0.6666666667k + k2 = -4.333333333

The k term is -0.6666666667k.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667k + 0.1111111112 + k2 = -4.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667k + k2 = -4.333333333 + 0.1111111112

Combine like terms: -4.333333333 + 0.1111111112 = -4.2222222218
0.1111111112 + -0.6666666667k + k2 = -4.2222222218

Factor a perfect square on the left side:
(k + -0.3333333334)(k + -0.3333333334) = -4.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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