4z-1=25z^2-4z+2

Solution for 4z-1=25z^2-4z+2 equation:

Simplifying
4z + -1 = 25z2 + -4z + 2

Reorder the terms:
-1 + 4z = 25z2 + -4z + 2

Reorder the terms:
-1 + 4z = 2 + -4z + 25z2

Solving
-1 + 4z = 2 + -4z + 25z2

Solving for variable 'z'.

Reorder the terms:
-1 + -2 + 4z + 4z + -25z2 = 2 + -4z + 25z2 + -2 + 4z + -25z2

Combine like terms: -1 + -2 = -3
-3 + 4z + 4z + -25z2 = 2 + -4z + 25z2 + -2 + 4z + -25z2

Combine like terms: 4z + 4z = 8z
-3 + 8z + -25z2 = 2 + -4z + 25z2 + -2 + 4z + -25z2

Reorder the terms:
-3 + 8z + -25z2 = 2 + -2 + -4z + 4z + 25z2 + -25z2

Combine like terms: 2 + -2 = 0
-3 + 8z + -25z2 = 0 + -4z + 4z + 25z2 + -25z2
-3 + 8z + -25z2 = -4z + 4z + 25z2 + -25z2

Combine like terms: -4z + 4z = 0
-3 + 8z + -25z2 = 0 + 25z2 + -25z2
-3 + 8z + -25z2 = 25z2 + -25z2

Combine like terms: 25z2 + -25z2 = 0
-3 + 8z + -25z2 = 0

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

Divide each side by '-25'.
0.12 + -0.32z + z2 = 0

Move the constant term to the right:

Add '-0.12' to each side of the equation.
0.12 + -0.32z + -0.12 + z2 = 0 + -0.12

Reorder the terms:
0.12 + -0.12 + -0.32z + z2 = 0 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.32z + z2 = 0 + -0.12
-0.32z + z2 = 0 + -0.12

Combine like terms: 0 + -0.12 = -0.12
-0.32z + z2 = -0.12

The z term is -0.32z.  Take half its coefficient (-0.16).
Square it (0.0256) and add it to both sides.

Add '0.0256' to each side of the equation.
-0.32z + 0.0256 + z2 = -0.12 + 0.0256

Reorder the terms:
0.0256 + -0.32z + z2 = -0.12 + 0.0256

Combine like terms: -0.12 + 0.0256 = -0.0944
0.0256 + -0.32z + z2 = -0.0944

Factor a perfect square on the left side:
(z + -0.16)(z + -0.16) = -0.0944

Can't calculate square root of the right side.

The solution to this equation could not be determined.