5z^2-11z+12=0

Solution for 5z^2-11z+12=0 equation:

Simplifying
5z2 + -11z + 12 = 0

Reorder the terms:
12 + -11z + 5z2 = 0

Solving
12 + -11z + 5z2 = 0

Solving for variable 'z'.

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

Divide each side by '5'.
2.4 + -2.2z + z2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + -2.2z + -2.4 + z2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + -2.2z + z2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -2.2z + z2 = 0 + -2.4
-2.2z + z2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
-2.2z + z2 = -2.4

The z term is -2.2z.  Take half its coefficient (-1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
-2.2z + 1.21 + z2 = -2.4 + 1.21

Reorder the terms:
1.21 + -2.2z + z2 = -2.4 + 1.21

Combine like terms: -2.4 + 1.21 = -1.19
1.21 + -2.2z + z2 = -1.19

Factor a perfect square on the left side:
(z + -1.1)(z + -1.1) = -1.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.