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

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


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

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

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

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

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

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

Multiply (1 + -3x + 2x2) * (2 + x)
x = (1(2 + x) + -3x * (2 + x) + 2x2 * (2 + x))
x = ((2 * 1 + x * 1) + -3x * (2 + x) + 2x2 * (2 + x))
x = ((2 + 1x) + -3x * (2 + x) + 2x2 * (2 + x))
x = (2 + 1x + (2 * -3x + x * -3x) + 2x2 * (2 + x))
x = (2 + 1x + (-6x + -3x2) + 2x2 * (2 + x))
x = (2 + 1x + -6x + -3x2 + (2 * 2x2 + x * 2x2))
x = (2 + 1x + -6x + -3x2 + (4x2 + 2x3))

Combine like terms: 1x + -6x = -5x
x = (2 + -5x + -3x2 + 4x2 + 2x3)

Combine like terms: -3x2 + 4x2 = 1x2
x = (2 + -5x + 1x2 + 2x3)

Solving
x = 2 + -5x + 1x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
-2 + x + 5x + -1x2 + -2x3 = 2 + -5x + 1x2 + 2x3 + -2 + 5x + -1x2 + -2x3

Combine like terms: x + 5x = 6x
-2 + 6x + -1x2 + -2x3 = 2 + -5x + 1x2 + 2x3 + -2 + 5x + -1x2 + -2x3

Reorder the terms:
-2 + 6x + -1x2 + -2x3 = 2 + -2 + -5x + 5x + 1x2 + -1x2 + 2x3 + -2x3

Combine like terms: 2 + -2 = 0
-2 + 6x + -1x2 + -2x3 = 0 + -5x + 5x + 1x2 + -1x2 + 2x3 + -2x3
-2 + 6x + -1x2 + -2x3 = -5x + 5x + 1x2 + -1x2 + 2x3 + -2x3

Combine like terms: -5x + 5x = 0
-2 + 6x + -1x2 + -2x3 = 0 + 1x2 + -1x2 + 2x3 + -2x3
-2 + 6x + -1x2 + -2x3 = 1x2 + -1x2 + 2x3 + -2x3

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

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

The solution to this equation could not be determined.

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