-9k^2+2k-3=0

Solution for -9k^2+2k-3=0 equation:

Simplifying
-9k2 + 2k + -3 = 0

Reorder the terms:
-3 + 2k + -9k2 = 0

Solving
-3 + 2k + -9k2 = 0

Solving for variable 'k'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.3333333333 + -0.2222222222k + k2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.2222222222k + -0.3333333333 + k2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.2222222222k + k2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.2222222222k + k2 = 0 + -0.3333333333
-0.2222222222k + k2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.2222222222k + k2 = -0.3333333333

The k term is -0.2222222222k.  Take half its coefficient (-0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
-0.2222222222k + 0.01234567901 + k2 = -0.3333333333 + 0.01234567901

Reorder the terms:
0.01234567901 + -0.2222222222k + k2 = -0.3333333333 + 0.01234567901

Combine like terms: -0.3333333333 + 0.01234567901 = -0.32098765429
0.01234567901 + -0.2222222222k + k2 = -0.32098765429

Factor a perfect square on the left side:
(k + -0.1111111111)(k + -0.1111111111) = -0.32098765429

Can't calculate square root of the right side.

The solution to this equation could not be determined.