2.6z^2-0.9z+2=0

Solution for 2.6z^2-0.9z+2=0 equation:

Simplifying
2.6z2 + -0.9z + 2 = 0

Reorder the terms:
2 + -0.9z + 2.6z2 = 0

Solving
2 + -0.9z + 2.6z2 = 0

Solving for variable 'z'.

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

Divide each side by '2.6'.
0.7692307692 + -0.3461538462z + z2 = 0

Move the constant term to the right:

Add '-0.7692307692' to each side of the equation.
0.7692307692 + -0.3461538462z + -0.7692307692 + z2 = 0 + -0.7692307692

Reorder the terms:
0.7692307692 + -0.7692307692 + -0.3461538462z + z2 = 0 + -0.7692307692

Combine like terms: 0.7692307692 + -0.7692307692 = 0.0000000000
0.0000000000 + -0.3461538462z + z2 = 0 + -0.7692307692
-0.3461538462z + z2 = 0 + -0.7692307692

Combine like terms: 0 + -0.7692307692 = -0.7692307692
-0.3461538462z + z2 = -0.7692307692

The z term is -0.3461538462z.  Take half its coefficient (-0.1730769231).
Square it (0.02995562131) and add it to both sides.

Add '0.02995562131' to each side of the equation.
-0.3461538462z + 0.02995562131 + z2 = -0.7692307692 + 0.02995562131

Reorder the terms:
0.02995562131 + -0.3461538462z + z2 = -0.7692307692 + 0.02995562131

Combine like terms: -0.7692307692 + 0.02995562131 = -0.73927514789
0.02995562131 + -0.3461538462z + z2 = -0.73927514789

Factor a perfect square on the left side:
(z + -0.1730769231)(z + -0.1730769231) = -0.73927514789

Can't calculate square root of the right side.

The solution to this equation could not be determined.