12z^2-7z+6=0

Solution for 12z^2-7z+6=0 equation:

Simplifying
12z2 + -7z + 6 = 0

Reorder the terms:
6 + -7z + 12z2 = 0

Solving
6 + -7z + 12z2 = 0

Solving for variable 'z'.

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

Divide each side by '12'.
0.5 + -0.5833333333z + z2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.5833333333z + -0.5 + z2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.5833333333z + z2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5833333333z + z2 = 0 + -0.5
-0.5833333333z + z2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.5833333333z + z2 = -0.5

The z term is -0.5833333333z.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333z + 0.08506944446 + z2 = -0.5 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333z + z2 = -0.5 + 0.08506944446

Combine like terms: -0.5 + 0.08506944446 = -0.41493055554
0.08506944446 + -0.5833333333z + z2 = -0.41493055554

Factor a perfect square on the left side:
(z + -0.2916666667)(z + -0.2916666667) = -0.41493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.