(X+1)(x-2)=(x-1)(x+3)

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Solution for (X+1)(x-2)=(x-1)(x+3) equation: 


Simplifying
(X + 1)(x + -2) = (x + -1)(x + 3)

Reorder the terms:
(1 + X)(x + -2) = (x + -1)(x + 3)

Reorder the terms:
(1 + X)(-2 + x) = (x + -1)(x + 3)

Multiply (1 + X) * (-2 + x)
(1(-2 + x) + X(-2 + x)) = (x + -1)(x + 3)
((-2 * 1 + x * 1) + X(-2 + x)) = (x + -1)(x + 3)
((-2 + 1x) + X(-2 + x)) = (x + -1)(x + 3)
(-2 + 1x + (-2 * X + x * X)) = (x + -1)(x + 3)
(-2 + 1x + (-2X + xX)) = (x + -1)(x + 3)

Reorder the terms:
(-2 + -2X + 1x + xX) = (x + -1)(x + 3)
(-2 + -2X + 1x + xX) = (x + -1)(x + 3)

Reorder the terms:
-2 + -2X + 1x + xX = (-1 + x)(x + 3)

Reorder the terms:
-2 + -2X + 1x + xX = (-1 + x)(3 + x)

Multiply (-1 + x) * (3 + x)
-2 + -2X + 1x + xX = (-1(3 + x) + x(3 + x))
-2 + -2X + 1x + xX = ((3 * -1 + x * -1) + x(3 + x))
-2 + -2X + 1x + xX = ((-3 + -1x) + x(3 + x))
-2 + -2X + 1x + xX = (-3 + -1x + (3 * x + x * x))
-2 + -2X + 1x + xX = (-3 + -1x + (3x + x2))

Combine like terms: -1x + 3x = 2x
-2 + -2X + 1x + xX = (-3 + 2x + x2)

Solving
-2 + -2X + 1x + xX = -3 + 2x + x2

Solving for variable 'X'.

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

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

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

Combine like terms: -2 + 2 = 0
0 + -2X + 1x + xX = -3 + 2x + 2 + x2
-2X + 1x + xX = -3 + 2x + 2 + x2

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

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

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

Combine like terms: 1x + -1x = 0
-2X + 0 + xX = -1 + 2x + -1x + x2
-2X + xX = -1 + 2x + -1x + x2

Combine like terms: 2x + -1x = 1x
-2X + xX = -1 + 1x + x2

Reorder the terms:
1 + -2X + -1x + xX + -1x2 = -1 + 1x + x2 + 1 + -1x + -1x2

Reorder the terms:
1 + -2X + -1x + xX + -1x2 = -1 + 1 + 1x + -1x + x2 + -1x2

Combine like terms: -1 + 1 = 0
1 + -2X + -1x + xX + -1x2 = 0 + 1x + -1x + x2 + -1x2
1 + -2X + -1x + xX + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
1 + -2X + -1x + xX + -1x2 = 0 + x2 + -1x2
1 + -2X + -1x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + -2X + -1x + xX + -1x2 = 0

The solution to this equation could not be determined.

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