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

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


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

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

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

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

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

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

Multiply (2 + 3x + x2) * (-3 + x)
(2(-3 + x) + 3x * (-3 + x) + x2(-3 + x)) = (x + -2)(x + 1) * 2
((-3 * 2 + x * 2) + 3x * (-3 + x) + x2(-3 + x)) = (x + -2)(x + 1) * 2
((-6 + 2x) + 3x * (-3 + x) + x2(-3 + x)) = (x + -2)(x + 1) * 2
(-6 + 2x + (-3 * 3x + x * 3x) + x2(-3 + x)) = (x + -2)(x + 1) * 2
(-6 + 2x + (-9x + 3x2) + x2(-3 + x)) = (x + -2)(x + 1) * 2
(-6 + 2x + -9x + 3x2 + (-3 * x2 + x * x2)) = (x + -2)(x + 1) * 2
(-6 + 2x + -9x + 3x2 + (-3x2 + x3)) = (x + -2)(x + 1) * 2

Combine like terms: 2x + -9x = -7x
(-6 + -7x + 3x2 + -3x2 + x3) = (x + -2)(x + 1) * 2

Combine like terms: 3x2 + -3x2 = 0
(-6 + -7x + 0 + x3) = (x + -2)(x + 1) * 2
(-6 + -7x + x3) = (x + -2)(x + 1) * 2

Reorder the terms:
-6 + -7x + x3 = (-2 + x)(x + 1) * 2

Reorder the terms:
-6 + -7x + x3 = (-2 + x)(1 + x) * 2

Reorder the terms for easier multiplication:
-6 + -7x + x3 = 2(-2 + x)(1 + x)

Multiply (-2 + x) * (1 + x)
-6 + -7x + x3 = 2(-2(1 + x) + x(1 + x))
-6 + -7x + x3 = 2((1 * -2 + x * -2) + x(1 + x))
-6 + -7x + x3 = 2((-2 + -2x) + x(1 + x))
-6 + -7x + x3 = 2(-2 + -2x + (1 * x + x * x))
-6 + -7x + x3 = 2(-2 + -2x + (1x + x2))

Combine like terms: -2x + 1x = -1x
-6 + -7x + x3 = 2(-2 + -1x + x2)
-6 + -7x + x3 = (-2 * 2 + -1x * 2 + x2 * 2)
-6 + -7x + x3 = (-4 + -2x + 2x2)

Solving
-6 + -7x + x3 = -4 + -2x + 2x2

Solving for variable 'x'.

Reorder the terms:
-6 + 4 + -7x + 2x + -2x2 + x3 = -4 + -2x + 2x2 + 4 + 2x + -2x2

Combine like terms: -6 + 4 = -2
-2 + -7x + 2x + -2x2 + x3 = -4 + -2x + 2x2 + 4 + 2x + -2x2

Combine like terms: -7x + 2x = -5x
-2 + -5x + -2x2 + x3 = -4 + -2x + 2x2 + 4 + 2x + -2x2

Reorder the terms:
-2 + -5x + -2x2 + x3 = -4 + 4 + -2x + 2x + 2x2 + -2x2

Combine like terms: -4 + 4 = 0
-2 + -5x + -2x2 + x3 = 0 + -2x + 2x + 2x2 + -2x2
-2 + -5x + -2x2 + x3 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
-2 + -5x + -2x2 + x3 = 0 + 2x2 + -2x2
-2 + -5x + -2x2 + x3 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + -5x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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