(k-6)(k-2)=-k-2

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Solution for (k-6)(k-2)=-k-2 equation: 


Simplifying
(k + -6)(k + -2) = -1k + -2

Reorder the terms:
(-6 + k)(k + -2) = -1k + -2

Reorder the terms:
(-6 + k)(-2 + k) = -1k + -2

Multiply (-6 + k) * (-2 + k)
(-6(-2 + k) + k(-2 + k)) = -1k + -2
((-2 * -6 + k * -6) + k(-2 + k)) = -1k + -2
((12 + -6k) + k(-2 + k)) = -1k + -2
(12 + -6k + (-2 * k + k * k)) = -1k + -2
(12 + -6k + (-2k + k2)) = -1k + -2

Combine like terms: -6k + -2k = -8k
(12 + -8k + k2) = -1k + -2

Reorder the terms:
12 + -8k + k2 = -2 + -1k

Solving
12 + -8k + k2 = -2 + -1k

Solving for variable 'k'.

Reorder the terms:
12 + 2 + -8k + k + k2 = -2 + -1k + 2 + k

Combine like terms: 12 + 2 = 14
14 + -8k + k + k2 = -2 + -1k + 2 + k

Combine like terms: -8k + k = -7k
14 + -7k + k2 = -2 + -1k + 2 + k

Reorder the terms:
14 + -7k + k2 = -2 + 2 + -1k + k

Combine like terms: -2 + 2 = 0
14 + -7k + k2 = 0 + -1k + k
14 + -7k + k2 = -1k + k

Combine like terms: -1k + k = 0
14 + -7k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -7k + -14 + k2 = 0 + -14

Reorder the terms:
14 + -14 + -7k + k2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -7k + k2 = 0 + -14
-7k + k2 = 0 + -14

Combine like terms: 0 + -14 = -14
-7k + k2 = -14

The k term is -7k.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7k + 12.25 + k2 = -14 + 12.25

Reorder the terms:
12.25 + -7k + k2 = -14 + 12.25

Combine like terms: -14 + 12.25 = -1.75
12.25 + -7k + k2 = -1.75

Factor a perfect square on the left side:
(k + -3.5)(k + -3.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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