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

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

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

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

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

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

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

Combine like terms: 2x + 2x = 4x
3x = -2 + 4x + -2x2

Solving
3x = -2 + 4x + -2x2

Solving for variable 'x'.

Reorder the terms:
2 + 3x + -4x + 2x2 = -2 + 4x + -2x2 + 2 + -4x + 2x2

Combine like terms: 3x + -4x = -1x
2 + -1x + 2x2 = -2 + 4x + -2x2 + 2 + -4x + 2x2

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

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

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

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

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

Divide each side by '2'.
1 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5x + x2 = 0 + -1
-0.5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5x + x2 = -1

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -1 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1 + 0.0625

Combine like terms: -1 + 0.0625 = -0.9375
0.0625 + -0.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.