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

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


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

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

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

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

Combine like terms: -3x + -9x = -12x
(9 + -12x + 3x2) = (2x + -1)(2x + -1)(2x)

Reorder the terms:
9 + -12x + 3x2 = (-1 + 2x)(2x + -1)(2x)

Reorder the terms:
9 + -12x + 3x2 = (-1 + 2x)(-1 + 2x)(2x)

Remove parenthesis around (2x)
9 + -12x + 3x2 = (-1 + 2x)(-1 + 2x) * 2x

Reorder the terms for easier multiplication:
9 + -12x + 3x2 = 2x(-1 + 2x)(-1 + 2x)

Multiply (-1 + 2x) * (-1 + 2x)
9 + -12x + 3x2 = 2x(-1(-1 + 2x) + 2x * (-1 + 2x))
9 + -12x + 3x2 = 2x((-1 * -1 + 2x * -1) + 2x * (-1 + 2x))
9 + -12x + 3x2 = 2x((1 + -2x) + 2x * (-1 + 2x))
9 + -12x + 3x2 = 2x(1 + -2x + (-1 * 2x + 2x * 2x))
9 + -12x + 3x2 = 2x(1 + -2x + (-2x + 4x2))

Combine like terms: -2x + -2x = -4x
9 + -12x + 3x2 = 2x(1 + -4x + 4x2)
9 + -12x + 3x2 = (1 * 2x + -4x * 2x + 4x2 * 2x)
9 + -12x + 3x2 = (2x + -8x2 + 8x3)

Solving
9 + -12x + 3x2 = 2x + -8x2 + 8x3

Solving for variable 'x'.

Reorder the terms:
9 + -12x + -2x + 3x2 + 8x2 + -8x3 = 2x + -8x2 + 8x3 + -2x + 8x2 + -8x3

Combine like terms: -12x + -2x = -14x
9 + -14x + 3x2 + 8x2 + -8x3 = 2x + -8x2 + 8x3 + -2x + 8x2 + -8x3

Combine like terms: 3x2 + 8x2 = 11x2
9 + -14x + 11x2 + -8x3 = 2x + -8x2 + 8x3 + -2x + 8x2 + -8x3

Reorder the terms:
9 + -14x + 11x2 + -8x3 = 2x + -2x + -8x2 + 8x2 + 8x3 + -8x3

Combine like terms: 2x + -2x = 0
9 + -14x + 11x2 + -8x3 = 0 + -8x2 + 8x2 + 8x3 + -8x3
9 + -14x + 11x2 + -8x3 = -8x2 + 8x2 + 8x3 + -8x3

Combine like terms: -8x2 + 8x2 = 0
9 + -14x + 11x2 + -8x3 = 0 + 8x3 + -8x3
9 + -14x + 11x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
9 + -14x + 11x2 + -8x3 = 0

The solution to this equation could not be determined.

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