x^2-2x-3=x-6

Solution for x^2-2x-3=x-6 equation:

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

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

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

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

Solving for variable 'x'.

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

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

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

Reorder the terms:
3 + -3x + x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
3 + -3x + x2 = 0 + x + -1x
3 + -3x + x2 = x + -1x

Combine like terms: x + -1x = 0
3 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -3 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3x + x2 = -0.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.