(x-1)(x+2)(2x-4)=3(x-1)(x+2)

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Solution for (x-1)(x+2)(2x-4)=3(x-1)(x+2) equation: 


Simplifying
(x + -1)(x + 2)(2x + -4) = 3(x + -1)(x + 2)

Reorder the terms:
(-1 + x)(x + 2)(2x + -4) = 3(x + -1)(x + 2)

Reorder the terms:
(-1 + x)(2 + x)(2x + -4) = 3(x + -1)(x + 2)

Reorder the terms:
(-1 + x)(2 + x)(-4 + 2x) = 3(x + -1)(x + 2)

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x))(-4 + 2x) = 3(x + -1)(x + 2)
((2 * -1 + x * -1) + x(2 + x))(-4 + 2x) = 3(x + -1)(x + 2)
((-2 + -1x) + x(2 + x))(-4 + 2x) = 3(x + -1)(x + 2)
(-2 + -1x + (2 * x + x * x))(-4 + 2x) = 3(x + -1)(x + 2)
(-2 + -1x + (2x + x2))(-4 + 2x) = 3(x + -1)(x + 2)

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

Multiply (-2 + 1x + x2) * (-4 + 2x)
(-2(-4 + 2x) + 1x * (-4 + 2x) + x2(-4 + 2x)) = 3(x + -1)(x + 2)
((-4 * -2 + 2x * -2) + 1x * (-4 + 2x) + x2(-4 + 2x)) = 3(x + -1)(x + 2)
((8 + -4x) + 1x * (-4 + 2x) + x2(-4 + 2x)) = 3(x + -1)(x + 2)
(8 + -4x + (-4 * 1x + 2x * 1x) + x2(-4 + 2x)) = 3(x + -1)(x + 2)
(8 + -4x + (-4x + 2x2) + x2(-4 + 2x)) = 3(x + -1)(x + 2)
(8 + -4x + -4x + 2x2 + (-4 * x2 + 2x * x2)) = 3(x + -1)(x + 2)
(8 + -4x + -4x + 2x2 + (-4x2 + 2x3)) = 3(x + -1)(x + 2)

Combine like terms: -4x + -4x = -8x
(8 + -8x + 2x2 + -4x2 + 2x3) = 3(x + -1)(x + 2)

Combine like terms: 2x2 + -4x2 = -2x2
(8 + -8x + -2x2 + 2x3) = 3(x + -1)(x + 2)

Reorder the terms:
8 + -8x + -2x2 + 2x3 = 3(-1 + x)(x + 2)

Reorder the terms:
8 + -8x + -2x2 + 2x3 = 3(-1 + x)(2 + x)

Multiply (-1 + x) * (2 + x)
8 + -8x + -2x2 + 2x3 = 3(-1(2 + x) + x(2 + x))
8 + -8x + -2x2 + 2x3 = 3((2 * -1 + x * -1) + x(2 + x))
8 + -8x + -2x2 + 2x3 = 3((-2 + -1x) + x(2 + x))
8 + -8x + -2x2 + 2x3 = 3(-2 + -1x + (2 * x + x * x))
8 + -8x + -2x2 + 2x3 = 3(-2 + -1x + (2x + x2))

Combine like terms: -1x + 2x = 1x
8 + -8x + -2x2 + 2x3 = 3(-2 + 1x + x2)
8 + -8x + -2x2 + 2x3 = (-2 * 3 + 1x * 3 + x2 * 3)
8 + -8x + -2x2 + 2x3 = (-6 + 3x + 3x2)

Solving
8 + -8x + -2x2 + 2x3 = -6 + 3x + 3x2

Solving for variable 'x'.

Reorder the terms:
8 + 6 + -8x + -3x + -2x2 + -3x2 + 2x3 = -6 + 3x + 3x2 + 6 + -3x + -3x2

Combine like terms: 8 + 6 = 14
14 + -8x + -3x + -2x2 + -3x2 + 2x3 = -6 + 3x + 3x2 + 6 + -3x + -3x2

Combine like terms: -8x + -3x = -11x
14 + -11x + -2x2 + -3x2 + 2x3 = -6 + 3x + 3x2 + 6 + -3x + -3x2

Combine like terms: -2x2 + -3x2 = -5x2
14 + -11x + -5x2 + 2x3 = -6 + 3x + 3x2 + 6 + -3x + -3x2

Reorder the terms:
14 + -11x + -5x2 + 2x3 = -6 + 6 + 3x + -3x + 3x2 + -3x2

Combine like terms: -6 + 6 = 0
14 + -11x + -5x2 + 2x3 = 0 + 3x + -3x + 3x2 + -3x2
14 + -11x + -5x2 + 2x3 = 3x + -3x + 3x2 + -3x2

Combine like terms: 3x + -3x = 0
14 + -11x + -5x2 + 2x3 = 0 + 3x2 + -3x2
14 + -11x + -5x2 + 2x3 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
14 + -11x + -5x2 + 2x3 = 0

The solution to this equation could not be determined.

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