(2x-1)(8x-4)=-1

Solution for (2x-1)(8x-4)=-1 equation:

Simplifying
(2x + -1)(8x + -4) = -1

Reorder the terms:
(-1 + 2x)(8x + -4) = -1

Reorder the terms:
(-1 + 2x)(-4 + 8x) = -1

Multiply (-1 + 2x) * (-4 + 8x)
(-1(-4 + 8x) + 2x * (-4 + 8x)) = -1
((-4 * -1 + 8x * -1) + 2x * (-4 + 8x)) = -1
((4 + -8x) + 2x * (-4 + 8x)) = -1
(4 + -8x + (-4 * 2x + 8x * 2x)) = -1
(4 + -8x + (-8x + 16x2)) = -1

Combine like terms: -8x + -8x = -16x
(4 + -16x + 16x2) = -1

Solving
4 + -16x + 16x2 = -1

Solving for variable 'x'.

Reorder the terms:
4 + 1 + -16x + 16x2 = -1 + 1

Combine like terms: 4 + 1 = 5
5 + -16x + 16x2 = -1 + 1

Combine like terms: -1 + 1 = 0
5 + -16x + 16x2 = 0

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

Divide each side by '16'.
0.3125 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.3125' to each side of the equation.
0.3125 + -1x + -0.3125 + x2 = 0 + -0.3125

Reorder the terms:
0.3125 + -0.3125 + -1x + x2 = 0 + -0.3125

Combine like terms: 0.3125 + -0.3125 = 0.0000
0.0000 + -1x + x2 = 0 + -0.3125
-1x + x2 = 0 + -0.3125

Combine like terms: 0 + -0.3125 = -0.3125
-1x + x2 = -0.3125

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.3125 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.3125 + 0.25

Combine like terms: -0.3125 + 0.25 = -0.0625
0.25 + -1x + x2 = -0.0625

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.0625

Can't calculate square root of the right side.

The solution to this equation could not be determined.