5z^2-6z+5=0

Solution for 5z^2-6z+5=0 equation:

Simplifying
5z2 + -6z + 5 = 0

Reorder the terms:
5 + -6z + 5z2 = 0

Solving
5 + -6z + 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 + -1.2z + z2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.2z + -1 + z2 = 0 + -1

Reorder the terms:
1 + -1 + -1.2z + z2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.2z + z2 = 0 + -1
-1.2z + z2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.2z + z2 = -1

The z term is -1.2z.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2z + 0.36 + z2 = -1 + 0.36

Reorder the terms:
0.36 + -1.2z + z2 = -1 + 0.36

Combine like terms: -1 + 0.36 = -0.64
0.36 + -1.2z + z2 = -0.64

Factor a perfect square on the left side:
(z + -0.6)(z + -0.6) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.