25z^2+18=40z

Solution for 25z^2+18=40z equation:

Simplifying
25z2 + 18 = 40z

Reorder the terms:
18 + 25z2 = 40z

Solving
18 + 25z2 = 40z

Solving for variable 'z'.

Reorder the terms:
18 + -40z + 25z2 = 40z + -40z

Combine like terms: 40z + -40z = 0
18 + -40z + 25z2 = 0

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

Divide each side by '25'.
0.72 + -1.6z + z2 = 0

Move the constant term to the right:

Add '-0.72' to each side of the equation.
0.72 + -1.6z + -0.72 + z2 = 0 + -0.72

Reorder the terms:
0.72 + -0.72 + -1.6z + z2 = 0 + -0.72

Combine like terms: 0.72 + -0.72 = 0.00
0.00 + -1.6z + z2 = 0 + -0.72
-1.6z + z2 = 0 + -0.72

Combine like terms: 0 + -0.72 = -0.72
-1.6z + z2 = -0.72

The z term is -1.6z.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6z + 0.64 + z2 = -0.72 + 0.64

Reorder the terms:
0.64 + -1.6z + z2 = -0.72 + 0.64

Combine like terms: -0.72 + 0.64 = -0.08
0.64 + -1.6z + z2 = -0.08

Factor a perfect square on the left side:
(z + -0.8)(z + -0.8) = -0.08

Can't calculate square root of the right side.

The solution to this equation could not be determined.