2x(x-2)=-(4-x)

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

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

Reorder the terms:
2x(-2 + x) = -1(4 + -1x)
(-2 * 2x + x * 2x) = -1(4 + -1x)
(-4x + 2x2) = -1(4 + -1x)
-4x + 2x2 = (4 * -1 + -1x * -1)
-4x + 2x2 = (-4 + 1x)

Solving
-4x + 2x2 = -4 + 1x

Solving for variable 'x'.

Reorder the terms:
4 + -4x + -1x + 2x2 = -4 + 1x + 4 + -1x

Combine like terms: -4x + -1x = -5x
4 + -5x + 2x2 = -4 + 1x + 4 + -1x

Reorder the terms:
4 + -5x + 2x2 = -4 + 4 + 1x + -1x

Combine like terms: -4 + 4 = 0
4 + -5x + 2x2 = 0 + 1x + -1x
4 + -5x + 2x2 = 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -5x + 2x2 = 0

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

Divide each side by '2'.
2 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.5x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2.5x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.5x + x2 = 0 + -2
-2.5x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.5x + x2 = -2

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -2 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -2 + 1.5625

Combine like terms: -2 + 1.5625 = -0.4375
1.5625 + -2.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.