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

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


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

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

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

Reorder the terms for easier multiplication:
2x(-1 + x)(2 + x) = 3(x + -1)(x + 2)

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

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

Reorder the terms:
-4x + 2x2 + 2x3 = 3(-1 + x)(x + 2)

Reorder the terms:
-4x + 2x2 + 2x3 = 3(-1 + x)(2 + x)

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

Combine like terms: -1x + 2x = 1x
-4x + 2x2 + 2x3 = 3(-2 + 1x + x2)
-4x + 2x2 + 2x3 = (-2 * 3 + 1x * 3 + x2 * 3)
-4x + 2x2 + 2x3 = (-6 + 3x + 3x2)

Solving
-4x + 2x2 + 2x3 = -6 + 3x + 3x2

Solving for variable 'x'.

Reorder the terms:
6 + -4x + -3x + 2x2 + -3x2 + 2x3 = -6 + 3x + 3x2 + 6 + -3x + -3x2

Combine like terms: -4x + -3x = -7x
6 + -7x + 2x2 + -3x2 + 2x3 = -6 + 3x + 3x2 + 6 + -3x + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
6 + -7x + -1x2 + 2x3 = -6 + 3x + 3x2 + 6 + -3x + -3x2

Reorder the terms:
6 + -7x + -1x2 + 2x3 = -6 + 6 + 3x + -3x + 3x2 + -3x2

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

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

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

The solution to this equation could not be determined.

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