18z^2=18z-11

Solution for 18z^2=18z-11 equation:

Simplifying
18z2 = 18z + -11

Reorder the terms:
18z2 = -11 + 18z

Solving
18z2 = -11 + 18z

Solving for variable 'z'.

Reorder the terms:
11 + -18z + 18z2 = -11 + 18z + 11 + -18z

Reorder the terms:
11 + -18z + 18z2 = -11 + 11 + 18z + -18z

Combine like terms: -11 + 11 = 0
11 + -18z + 18z2 = 0 + 18z + -18z
11 + -18z + 18z2 = 18z + -18z

Combine like terms: 18z + -18z = 0
11 + -18z + 18z2 = 0

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

Divide each side by '18'.
0.6111111111 + -1z + z2 = 0

Move the constant term to the right:

Add '-0.6111111111' to each side of the equation.
0.6111111111 + -1z + -0.6111111111 + z2 = 0 + -0.6111111111

Reorder the terms:
0.6111111111 + -0.6111111111 + -1z + z2 = 0 + -0.6111111111

Combine like terms: 0.6111111111 + -0.6111111111 = 0.0000000000
0.0000000000 + -1z + z2 = 0 + -0.6111111111
-1z + z2 = 0 + -0.6111111111

Combine like terms: 0 + -0.6111111111 = -0.6111111111
-1z + z2 = -0.6111111111

The z term is -1z.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1z + 0.25 + z2 = -0.6111111111 + 0.25

Reorder the terms:
0.25 + -1z + z2 = -0.6111111111 + 0.25

Combine like terms: -0.6111111111 + 0.25 = -0.3611111111
0.25 + -1z + z2 = -0.3611111111

Factor a perfect square on the left side:
(z + -0.5)(z + -0.5) = -0.3611111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.