k^2-8k=-19

Solution for k^2-8k=-19 equation:

Simplifying
k2 + -8k = -19

Reorder the terms:
-8k + k2 = -19

Solving
-8k + k2 = -19

Solving for variable 'k'.

Reorder the terms:
19 + -8k + k2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + -8k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -8k + -19 + k2 = 0 + -19

Reorder the terms:
19 + -19 + -8k + k2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -8k + k2 = 0 + -19
-8k + k2 = 0 + -19

Combine like terms: 0 + -19 = -19
-8k + k2 = -19

The k term is -8k.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8k + 16 + k2 = -19 + 16

Reorder the terms:
16 + -8k + k2 = -19 + 16

Combine like terms: -19 + 16 = -3
16 + -8k + k2 = -3

Factor a perfect square on the left side:
(k + -4)(k + -4) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.