(x-B)(2+x)=x^2-x-6

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Solution for (x-B)(2+x)=x^2-x-6 equation: 


Simplifying
(x + -1B)(2 + x) = x2 + -1x + -6

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

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

Reorder the terms:
(-2B + 2x + -1xB + x2) = x2 + -1x + -6
(-2B + 2x + -1xB + x2) = x2 + -1x + -6

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

Add '-1x2' to each side of the equation.
-2B + 2x + -1xB + x2 + -1x2 = -6 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2B + 2x + -1xB + 0 = -6 + -1x + x2 + -1x2
-2B + 2x + -1xB = -6 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2B + 2x + -1xB = -6 + -1x + 0
-2B + 2x + -1xB = -6 + -1x

Solving
-2B + 2x + -1xB = -6 + -1x

Solving for variable 'B'.

Move all terms containing B to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-2B + 2x + -2x + -1xB = -6 + -1x + -2x

Combine like terms: 2x + -2x = 0
-2B + 0 + -1xB = -6 + -1x + -2x
-2B + -1xB = -6 + -1x + -2x

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

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

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

Combine like terms: -6 + 6 = 0
6 + -2B + 3x + -1xB = 0 + -3x + 3x
6 + -2B + 3x + -1xB = -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -2B + 3x + -1xB = 0

The solution to this equation could not be determined.

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