3k-4k-k^2=3-3k

Solution for 3k-4k-k^2=3-3k equation:

Simplifying
3k + -4k + -1k2 = 3 + -3k

Combine like terms: 3k + -4k = -1k
-1k + -1k2 = 3 + -3k

Solving
-1k + -1k2 = 3 + -3k

Solving for variable 'k'.

Reorder the terms:
-3 + -1k + 3k + -1k2 = 3 + -3k + -3 + 3k

Combine like terms: -1k + 3k = 2k
-3 + 2k + -1k2 = 3 + -3k + -3 + 3k

Reorder the terms:
-3 + 2k + -1k2 = 3 + -3 + -3k + 3k

Combine like terms: 3 + -3 = 0
-3 + 2k + -1k2 = 0 + -3k + 3k
-3 + 2k + -1k2 = -3k + 3k

Combine like terms: -3k + 3k = 0
-3 + 2k + -1k2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -2k + k2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2k + -3 + k2 = 0 + -3

Reorder the terms:
3 + -3 + -2k + k2 = 0 + -3

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

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

The k term is -2k.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2k + 1 + k2 = -3 + 1

Reorder the terms:
1 + -2k + k2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2k + k2 = -2

Factor a perfect square on the left side:
(k + -1)(k + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.