(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 = -2x
(-3 + -2x + x2) = -6

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

Solving for variable 'x'.

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2x + x2 = 0 + -3

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

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

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -3 + 1

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

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

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.