1-0.6*Z+0.4*Z^2=0

Solution for 1-0.6*Z+0.4*Z^2=0 equation:

Simplifying
1 + -0.6Z + 0.4Z2 = 0

Solving
1 + -0.6Z + 0.4Z2 = 0

Solving for variable 'Z'.

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

Divide each side by '0.4'.
2.5 + -1.5Z + Z2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.5Z + -2.5 + Z2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.5Z + Z2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.5Z + Z2 = 0 + -2.5
-1.5Z + Z2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.5Z + Z2 = -2.5

The Z term is -1.5Z.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5Z + 0.5625 + Z2 = -2.5 + 0.5625

Reorder the terms:
0.5625 + -1.5Z + Z2 = -2.5 + 0.5625

Combine like terms: -2.5 + 0.5625 = -1.9375
0.5625 + -1.5Z + Z2 = -1.9375

Factor a perfect square on the left side:
(Z + -0.75)(Z + -0.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.