(10x-4)(x-1)=-1

Solution for (10x-4)(x-1)=-1 equation:

Simplifying
(10x + -4)(x + -1) = -1

Reorder the terms:
(-4 + 10x)(x + -1) = -1

Reorder the terms:
(-4 + 10x)(-1 + x) = -1

Multiply (-4 + 10x) * (-1 + x)
(-4(-1 + x) + 10x * (-1 + x)) = -1
((-1 * -4 + x * -4) + 10x * (-1 + x)) = -1
((4 + -4x) + 10x * (-1 + x)) = -1
(4 + -4x + (-1 * 10x + x * 10x)) = -1
(4 + -4x + (-10x + 10x2)) = -1

Combine like terms: -4x + -10x = -14x
(4 + -14x + 10x2) = -1

Solving
4 + -14x + 10x2 = -1

Solving for variable 'x'.

Reorder the terms:
4 + 1 + -14x + 10x2 = -1 + 1

Combine like terms: 4 + 1 = 5
5 + -14x + 10x2 = -1 + 1

Combine like terms: -1 + 1 = 0
5 + -14x + 10x2 = 0

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

Divide each side by '10'.
0.5 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.4x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.4x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.4x + x2 = 0 + -0.5
-1.4x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.4x + x2 = -0.5

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -0.5 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -0.5 + 0.49

Combine like terms: -0.5 + 0.49 = -0.01
0.49 + -1.4x + x2 = -0.01

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -0.01

Can't calculate square root of the right side.

The solution to this equation could not be determined.