(X+2)(X+3)=x(x-2)

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Solution for (X+2)(X+3)=x(x-2) equation: 


Simplifying
(X + 2)(X + 3) = x(x + -2)

Reorder the terms:
(2 + X)(X + 3) = x(x + -2)

Reorder the terms:
(2 + X)(3 + X) = x(x + -2)

Multiply (2 + X) * (3 + X)
(2(3 + X) + X(3 + X)) = x(x + -2)
((3 * 2 + X * 2) + X(3 + X)) = x(x + -2)
((6 + 2X) + X(3 + X)) = x(x + -2)
(6 + 2X + (3 * X + X * X)) = x(x + -2)
(6 + 2X + (3X + X2)) = x(x + -2)

Combine like terms: 2X + 3X = 5X
(6 + 5X + X2) = x(x + -2)

Reorder the terms:
6 + 5X + X2 = x(-2 + x)
6 + 5X + X2 = (-2 * x + x * x)
6 + 5X + X2 = (-2x + x2)

Solving
6 + 5X + X2 = -2x + x2

Solving for variable 'X'.

Reorder the terms:
6 + 5X + X2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
6 + 5X + X2 + 2x + -1x2 = 0 + x2 + -1x2
6 + 5X + X2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5X + X2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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