-4k+2k(5k-6)=3k-39

Solution for -4k+2k(5k-6)=3k-39 equation:

Simplifying
-4k + 2k(5k + -6) = 3k + -39

Reorder the terms:
-4k + 2k(-6 + 5k) = 3k + -39
-4k + (-6 * 2k + 5k * 2k) = 3k + -39
-4k + (-12k + 10k2) = 3k + -39

Combine like terms: -4k + -12k = -16k
-16k + 10k2 = 3k + -39

Reorder the terms:
-16k + 10k2 = -39 + 3k

Solving
-16k + 10k2 = -39 + 3k

Solving for variable 'k'.

Reorder the terms:
39 + -16k + -3k + 10k2 = -39 + 3k + 39 + -3k

Combine like terms: -16k + -3k = -19k
39 + -19k + 10k2 = -39 + 3k + 39 + -3k

Reorder the terms:
39 + -19k + 10k2 = -39 + 39 + 3k + -3k

Combine like terms: -39 + 39 = 0
39 + -19k + 10k2 = 0 + 3k + -3k
39 + -19k + 10k2 = 3k + -3k

Combine like terms: 3k + -3k = 0
39 + -19k + 10k2 = 0

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

Divide each side by '10'.
3.9 + -1.9k + k2 = 0.0

Move the constant term to the right:

Add '-3.9' to each side of the equation.
3.9 + -1.9k + -3.9 + k2 = 0.0 + -3.9

Reorder the terms:
3.9 + -3.9 + -1.9k + k2 = 0.0 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + -1.9k + k2 = 0.0 + -3.9
-1.9k + k2 = 0.0 + -3.9

Combine like terms: 0.0 + -3.9 = -3.9
-1.9k + k2 = -3.9

The k term is -1.9k.  Take half its coefficient (-0.95).
Square it (0.9025) and add it to both sides.

Add '0.9025' to each side of the equation.
-1.9k + 0.9025 + k2 = -3.9 + 0.9025

Reorder the terms:
0.9025 + -1.9k + k2 = -3.9 + 0.9025

Combine like terms: -3.9 + 0.9025 = -2.9975
0.9025 + -1.9k + k2 = -2.9975

Factor a perfect square on the left side:
(k + -0.95)(k + -0.95) = -2.9975

Can't calculate square root of the right side.

The solution to this equation could not be determined.