-5z^2+z-5=0

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

Simplifying
-5z2 + z + -5 = 0

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

Solving
-5 + z + -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'.
1 + -0.2z + z2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.2z + -1 + z2 = 0 + -1

Reorder the terms:
1 + -1 + -0.2z + z2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.2z + z2 = 0 + -1
-0.2z + z2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.2z + z2 = -1

The z term is z.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.2z + 0.25 + z2 = -1 + 0.25

Reorder the terms:
0.25 + -0.2z + z2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -0.2z + z2 = -0.75

Factor a perfect square on the left side:
(z + 0.5)(z + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.