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

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

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

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

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

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

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

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

Solving
-2 + -1x + x2 = -6 + 2x

Solving for variable 'x'.

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

Combine like terms: -2 + 6 = 4
4 + -1x + -2x + x2 = -6 + 2x + 6 + -2x

Combine like terms: -1x + -2x = -3x
4 + -3x + x2 = -6 + 2x + 6 + -2x

Reorder the terms:
4 + -3x + x2 = -6 + 6 + 2x + -2x

Combine like terms: -6 + 6 = 0
4 + -3x + x2 = 0 + 2x + -2x
4 + -3x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -3x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x + x2 = 0 + -4
-3x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3x + x2 = -4

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 = -4 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + -3x + x2 = -1.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.