3+2x(x-1)=3x-6

Solution for 3+2x(x-1)=3x-6 equation:

Simplifying
3 + 2x(x + -1) = 3x + -6

Reorder the terms:
3 + 2x(-1 + x) = 3x + -6
3 + (-1 * 2x + x * 2x) = 3x + -6
3 + (-2x + 2x2) = 3x + -6

Reorder the terms:
3 + -2x + 2x2 = -6 + 3x

Solving
3 + -2x + 2x2 = -6 + 3x

Solving for variable 'x'.

Reorder the terms:
3 + 6 + -2x + -3x + 2x2 = -6 + 3x + 6 + -3x

Combine like terms: 3 + 6 = 9
9 + -2x + -3x + 2x2 = -6 + 3x + 6 + -3x

Combine like terms: -2x + -3x = -5x
9 + -5x + 2x2 = -6 + 3x + 6 + -3x

Reorder the terms:
9 + -5x + 2x2 = -6 + 6 + 3x + -3x

Combine like terms: -6 + 6 = 0
9 + -5x + 2x2 = 0 + 3x + -3x
9 + -5x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -5x + 2x2 = 0

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

Divide each side by '2'.
4.5 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -2.5x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -2.5x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2.5x + x2 = 0 + -4.5
-2.5x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-2.5x + x2 = -4.5

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 = -4.5 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -4.5 + 1.5625

Combine like terms: -4.5 + 1.5625 = -2.9375
1.5625 + -2.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.