3z-5z^2=30

Solution for 3z-5z^2=30 equation:

Simplifying
3z + -5z2 = 30

Solving
3z + -5z2 = 30

Solving for variable 'z'.

Reorder the terms:
-30 + 3z + -5z2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 3z + -5z2 = 0

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

Divide each side by '-5'.
6 + -0.6z + z2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.6z + -6 + z2 = 0 + -6

Reorder the terms:
6 + -6 + -0.6z + z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.6z + z2 = 0 + -6
-0.6z + z2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.6z + z2 = -6

The z term is -0.6z.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6z + 0.09 + z2 = -6 + 0.09

Reorder the terms:
0.09 + -0.6z + z2 = -6 + 0.09

Combine like terms: -6 + 0.09 = -5.91
0.09 + -0.6z + z2 = -5.91

Factor a perfect square on the left side:
(z + -0.3)(z + -0.3) = -5.91

Can't calculate square root of the right side.

The solution to this equation could not be determined.