x(x-2)-(x-2x-3)=-2x+1

Solution for x(x-2)-(x-2x-3)=-2x+1 equation:

Simplifying
x(x + -2) + -1(x + -2x + -3) = -2x + 1

Reorder the terms:
x(-2 + x) + -1(x + -2x + -3) = -2x + 1
(-2 * x + x * x) + -1(x + -2x + -3) = -2x + 1
(-2x + x2) + -1(x + -2x + -3) = -2x + 1

Reorder the terms:
-2x + x2 + -1(-3 + x + -2x) = -2x + 1

Combine like terms: x + -2x = -1x
-2x + x2 + -1(-3 + -1x) = -2x + 1
-2x + x2 + (-3 * -1 + -1x * -1) = -2x + 1
-2x + x2 + (3 + 1x) = -2x + 1

Reorder the terms:
3 + -2x + 1x + x2 = -2x + 1

Combine like terms: -2x + 1x = -1x
3 + -1x + x2 = -2x + 1

Reorder the terms:
3 + -1x + x2 = 1 + -2x

Solving
3 + -1x + x2 = 1 + -2x

Solving for variable 'x'.

Reorder the terms:
3 + -1 + -1x + 2x + x2 = 1 + -2x + -1 + 2x

Combine like terms: 3 + -1 = 2
2 + -1x + 2x + x2 = 1 + -2x + -1 + 2x

Combine like terms: -1x + 2x = 1x
2 + 1x + x2 = 1 + -2x + -1 + 2x

Reorder the terms:
2 + 1x + x2 = 1 + -1 + -2x + 2x

Combine like terms: 1 + -1 = 0
2 + 1x + x2 = 0 + -2x + 2x
2 + 1x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 1x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1x + x2 = 0 + -2
1x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
1x + x2 = -2

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.
x + 0.25 + x2 = -2 + 0.25

Reorder the terms:
0.25 + x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + x + x2 = -1.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.