-10z^2+2z-1=0

Solution for -10z^2+2z-1=0 equation:

Simplifying
-10z2 + 2z + -1 = 0

Reorder the terms:
-1 + 2z + -10z2 = 0

Solving
-1 + 2z + -10z2 = 0

Solving for variable 'z'.

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.1 + -0.2z + z2 = 0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + -0.2z + -0.1 + z2 = 0 + -0.1

Reorder the terms:
0.1 + -0.1 + -0.2z + z2 = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.2z + z2 = 0 + -0.1
-0.2z + z2 = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
-0.2z + z2 = -0.1

The z term is -0.2z.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2z + 0.01 + z2 = -0.1 + 0.01

Reorder the terms:
0.01 + -0.2z + z2 = -0.1 + 0.01

Combine like terms: -0.1 + 0.01 = -0.09
0.01 + -0.2z + z2 = -0.09

Factor a perfect square on the left side:
(z + -0.1)(z + -0.1) = -0.09

Can't calculate square root of the right side.

The solution to this equation could not be determined.