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

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

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

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

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

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

Combine like terms: -3x + -1x = -4x
(3 + -4x + x2) = -6

Solving
3 + -4x + x2 = -6

Solving for variable 'x'.

Reorder the terms:
3 + 6 + -4x + x2 = -6 + 6

Combine like terms: 3 + 6 = 9
9 + -4x + x2 = -6 + 6

Combine like terms: -6 + 6 = 0
9 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -4x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -4x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x + x2 = 0 + -9
-4x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4x + x2 = -9

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -9 + 4

Reorder the terms:
4 + -4x + x2 = -9 + 4

Combine like terms: -9 + 4 = -5
4 + -4x + x2 = -5

Factor a perfect square on the left side:
(x + -2)(x + -2) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.