10z-10z^2=3

Solution for 10z-10z^2=3 equation:

Simplifying
10z + -10z2 = 3

Solving
10z + -10z2 = 3

Solving for variable 'z'.

Reorder the terms:
-3 + 10z + -10z2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 10z + -10z2 = 0

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

Divide each side by '-10'.
0.3 + -1z + z2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -1z + -0.3 + z2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + -1z + z2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -1z + z2 = 0 + -0.3
-1z + z2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
-1z + z2 = -0.3

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 = -0.3 + 0.25

Reorder the terms:
0.25 + -1z + z2 = -0.3 + 0.25

Combine like terms: -0.3 + 0.25 = -0.05
0.25 + -1z + z2 = -0.05

Factor a perfect square on the left side:
(z + -0.5)(z + -0.5) = -0.05

Can't calculate square root of the right side.

The solution to this equation could not be determined.