9z^2+11=12z

Solution for 9z^2+11=12z equation:

Simplifying
9z2 + 11 = 12z

Reorder the terms:
11 + 9z2 = 12z

Solving
11 + 9z2 = 12z

Solving for variable 'z'.

Reorder the terms:
11 + -12z + 9z2 = 12z + -12z

Combine like terms: 12z + -12z = 0
11 + -12z + 9z2 = 0

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

Divide each side by '9'.
1.222222222 + -1.333333333z + z2 = 0

Move the constant term to the right:

Add '-1.222222222' to each side of the equation.
1.222222222 + -1.333333333z + -1.222222222 + z2 = 0 + -1.222222222

Reorder the terms:
1.222222222 + -1.222222222 + -1.333333333z + z2 = 0 + -1.222222222

Combine like terms: 1.222222222 + -1.222222222 = 0.000000000
0.000000000 + -1.333333333z + z2 = 0 + -1.222222222
-1.333333333z + z2 = 0 + -1.222222222

Combine like terms: 0 + -1.222222222 = -1.222222222
-1.333333333z + z2 = -1.222222222

The z term is -1.333333333z.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333z + 0.4444444442 + z2 = -1.222222222 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333z + z2 = -1.222222222 + 0.4444444442

Combine like terms: -1.222222222 + 0.4444444442 = -0.7777777778
0.4444444442 + -1.333333333z + z2 = -0.7777777778

Factor a perfect square on the left side:
(z + -0.6666666665)(z + -0.6666666665) = -0.7777777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.