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

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

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

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

Multiply (-1 + 2x) * (3 + -1x)
(-1(3 + -1x) + 2x * (3 + -1x)) = 6
((3 * -1 + -1x * -1) + 2x * (3 + -1x)) = 6
((-3 + 1x) + 2x * (3 + -1x)) = 6
(-3 + 1x + (3 * 2x + -1x * 2x)) = 6
(-3 + 1x + (6x + -2x2)) = 6

Combine like terms: 1x + 6x = 7x
(-3 + 7x + -2x2) = 6

Solving
-3 + 7x + -2x2 = 6

Solving for variable 'x'.

Reorder the terms:
-3 + -6 + 7x + -2x2 = 6 + -6

Combine like terms: -3 + -6 = -9
-9 + 7x + -2x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-9 + 7x + -2x2 = 0

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

Divide each side by '-2'.
4.5 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -3.5x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -3.5x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -3.5x + x2 = 0 + -4.5
-3.5x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-3.5x + x2 = -4.5

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -4.5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -4.5 + 3.0625

Combine like terms: -4.5 + 3.0625 = -1.4375
3.0625 + -3.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.