2x(4-x^2)+12(x-1)=3(x-1)(2-x)

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Solution for 2x(4-x^2)+12(x-1)=3(x-1)(2-x) equation: 


Simplifying
2x(4 + -1x2) + 12(x + -1) = 3(x + -1)(2 + -1x)
(4 * 2x + -1x2 * 2x) + 12(x + -1) = 3(x + -1)(2 + -1x)
(8x + -2x3) + 12(x + -1) = 3(x + -1)(2 + -1x)

Reorder the terms:
8x + -2x3 + 12(-1 + x) = 3(x + -1)(2 + -1x)
8x + -2x3 + (-1 * 12 + x * 12) = 3(x + -1)(2 + -1x)
8x + -2x3 + (-12 + 12x) = 3(x + -1)(2 + -1x)

Reorder the terms:
-12 + 8x + 12x + -2x3 = 3(x + -1)(2 + -1x)

Combine like terms: 8x + 12x = 20x
-12 + 20x + -2x3 = 3(x + -1)(2 + -1x)

Reorder the terms:
-12 + 20x + -2x3 = 3(-1 + x)(2 + -1x)

Multiply (-1 + x) * (2 + -1x)
-12 + 20x + -2x3 = 3(-1(2 + -1x) + x(2 + -1x))
-12 + 20x + -2x3 = 3((2 * -1 + -1x * -1) + x(2 + -1x))
-12 + 20x + -2x3 = 3((-2 + 1x) + x(2 + -1x))
-12 + 20x + -2x3 = 3(-2 + 1x + (2 * x + -1x * x))
-12 + 20x + -2x3 = 3(-2 + 1x + (2x + -1x2))

Combine like terms: 1x + 2x = 3x
-12 + 20x + -2x3 = 3(-2 + 3x + -1x2)
-12 + 20x + -2x3 = (-2 * 3 + 3x * 3 + -1x2 * 3)
-12 + 20x + -2x3 = (-6 + 9x + -3x2)

Solving
-12 + 20x + -2x3 = -6 + 9x + -3x2

Solving for variable 'x'.

Reorder the terms:
-12 + 6 + 20x + -9x + 3x2 + -2x3 = -6 + 9x + -3x2 + 6 + -9x + 3x2

Combine like terms: -12 + 6 = -6
-6 + 20x + -9x + 3x2 + -2x3 = -6 + 9x + -3x2 + 6 + -9x + 3x2

Combine like terms: 20x + -9x = 11x
-6 + 11x + 3x2 + -2x3 = -6 + 9x + -3x2 + 6 + -9x + 3x2

Reorder the terms:
-6 + 11x + 3x2 + -2x3 = -6 + 6 + 9x + -9x + -3x2 + 3x2

Combine like terms: -6 + 6 = 0
-6 + 11x + 3x2 + -2x3 = 0 + 9x + -9x + -3x2 + 3x2
-6 + 11x + 3x2 + -2x3 = 9x + -9x + -3x2 + 3x2

Combine like terms: 9x + -9x = 0
-6 + 11x + 3x2 + -2x3 = 0 + -3x2 + 3x2
-6 + 11x + 3x2 + -2x3 = -3x2 + 3x2

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

The solution to this equation could not be determined.

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