25z^2+16=30z

Solution for 25z^2+16=30z equation:

Simplifying
25z2 + 16 = 30z

Reorder the terms:
16 + 25z2 = 30z

Solving
16 + 25z2 = 30z

Solving for variable 'z'.

Reorder the terms:
16 + -30z + 25z2 = 30z + -30z

Combine like terms: 30z + -30z = 0
16 + -30z + 25z2 = 0

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

Divide each side by '25'.
0.64 + -1.2z + z2 = 0

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -1.2z + -0.64 + z2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + -1.2z + z2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -1.2z + z2 = 0 + -0.64
-1.2z + z2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
-1.2z + z2 = -0.64

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 = -0.64 + 0.36

Reorder the terms:
0.36 + -1.2z + z2 = -0.64 + 0.36

Combine like terms: -0.64 + 0.36 = -0.28
0.36 + -1.2z + z2 = -0.28

Factor a perfect square on the left side:
(z + -0.6)(z + -0.6) = -0.28

Can't calculate square root of the right side.

The solution to this equation could not be determined.