5z-5z^2=2

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

Simplifying
5z + -5z2 = 2

Solving
5z + -5z2 = 2

Solving for variable 'z'.

Reorder the terms:
-2 + 5z + -5z2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 5z + -5z2 = 0

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

Divide each side by '-5'.
0.4 + -1z + z2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1z + -0.4 + z2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1z + z2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1z + z2 = 0 + -0.4
-1z + z2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1z + z2 = -0.4

The z term is -1z.  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.
-1z + 0.25 + z2 = -0.4 + 0.25

Reorder the terms:
0.25 + -1z + z2 = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
0.25 + -1z + z2 = -0.15

Factor a perfect square on the left side:
(z + -0.5)(z + -0.5) = -0.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.