25z^2-30z+14=0

Solution for 25z^2-30z+14=0 equation:

Simplifying
25z2 + -30z + 14 = 0

Reorder the terms:
14 + -30z + 25z2 = 0

Solving
14 + -30z + 25z2 = 0

Solving for variable 'z'.

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

Divide each side by '25'.
0.56 + -1.2z + z2 = 0

Move the constant term to the right:

Add '-0.56' to each side of the equation.
0.56 + -1.2z + -0.56 + z2 = 0 + -0.56

Reorder the terms:
0.56 + -0.56 + -1.2z + z2 = 0 + -0.56

Combine like terms: 0.56 + -0.56 = 0.00
0.00 + -1.2z + z2 = 0 + -0.56
-1.2z + z2 = 0 + -0.56

Combine like terms: 0 + -0.56 = -0.56
-1.2z + z2 = -0.56

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 = -0.56 + 0.36

Reorder the terms:
0.36 + -1.2z + z2 = -0.56 + 0.36

Combine like terms: -0.56 + 0.36 = -0.2
0.36 + -1.2z + z2 = -0.2

Factor a perfect square on the left side:
(z + -0.6)(z + -0.6) = -0.2

Can't calculate square root of the right side.

The solution to this equation could not be determined.