(2(x^3-2x+4)-(x-3)(x^2+5x-4))(3-2x)=

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Solution for (2(x^3-2x+4)-(x-3)(x^2+5x-4))(3-2x)= equation:


Simplifying
(2(x3 + -2x + 4) + -1(x + -3)(x2 + 5x + -4))(3 + -2x) = 0

Reorder the terms:
(2(4 + -2x + x3) + -1(x + -3)(x2 + 5x + -4))(3 + -2x) = 0
((4 * 2 + -2x * 2 + x3 * 2) + -1(x + -3)(x2 + 5x + -4))(3 + -2x) = 0
((8 + -4x + 2x3) + -1(x + -3)(x2 + 5x + -4))(3 + -2x) = 0

Reorder the terms:
(8 + -4x + 2x3 + -1(-3 + x)(x2 + 5x + -4))(3 + -2x) = 0

Reorder the terms:
(8 + -4x + 2x3 + -1(-3 + x)(-4 + 5x + x2))(3 + -2x) = 0

Multiply (-3 + x) * (-4 + 5x + x2)
(8 + -4x + 2x3 + -1(-3(-4 + 5x + x2) + x(-4 + 5x + x2)))(3 + -2x) = 0
(8 + -4x + 2x3 + -1((-4 * -3 + 5x * -3 + x2 * -3) + x(-4 + 5x + x2)))(3 + -2x) = 0
(8 + -4x + 2x3 + -1((12 + -15x + -3x2) + x(-4 + 5x + x2)))(3 + -2x) = 0
(8 + -4x + 2x3 + -1(12 + -15x + -3x2 + (-4 * x + 5x * x + x2 * x)))(3 + -2x) = 0
(8 + -4x + 2x3 + -1(12 + -15x + -3x2 + (-4x + 5x2 + x3)))(3 + -2x) = 0

Reorder the terms:
(8 + -4x + 2x3 + -1(12 + -15x + -4x + -3x2 + 5x2 + x3))(3 + -2x) = 0

Combine like terms: -15x + -4x = -19x
(8 + -4x + 2x3 + -1(12 + -19x + -3x2 + 5x2 + x3))(3 + -2x) = 0

Combine like terms: -3x2 + 5x2 = 2x2
(8 + -4x + 2x3 + -1(12 + -19x + 2x2 + x3))(3 + -2x) = 0
(8 + -4x + 2x3 + (12 * -1 + -19x * -1 + 2x2 * -1 + x3 * -1))(3 + -2x) = 0
(8 + -4x + 2x3 + (-12 + 19x + -2x2 + -1x3))(3 + -2x) = 0

Reorder the terms:
(8 + -12 + -4x + 19x + -2x2 + 2x3 + -1x3)(3 + -2x) = 0

Combine like terms: 8 + -12 = -4
(-4 + -4x + 19x + -2x2 + 2x3 + -1x3)(3 + -2x) = 0

Combine like terms: -4x + 19x = 15x
(-4 + 15x + -2x2 + 2x3 + -1x3)(3 + -2x) = 0

Combine like terms: 2x3 + -1x3 = 1x3
(-4 + 15x + -2x2 + 1x3)(3 + -2x) = 0

Multiply (-4 + 15x + -2x2 + 1x3) * (3 + -2x)
(-4(3 + -2x) + 15x * (3 + -2x) + -2x2 * (3 + -2x) + 1x3 * (3 + -2x)) = 0
((3 * -4 + -2x * -4) + 15x * (3 + -2x) + -2x2 * (3 + -2x) + 1x3 * (3 + -2x)) = 0
((-12 + 8x) + 15x * (3 + -2x) + -2x2 * (3 + -2x) + 1x3 * (3 + -2x)) = 0
(-12 + 8x + (3 * 15x + -2x * 15x) + -2x2 * (3 + -2x) + 1x3 * (3 + -2x)) = 0
(-12 + 8x + (45x + -30x2) + -2x2 * (3 + -2x) + 1x3 * (3 + -2x)) = 0
(-12 + 8x + 45x + -30x2 + (3 * -2x2 + -2x * -2x2) + 1x3 * (3 + -2x)) = 0
(-12 + 8x + 45x + -30x2 + (-6x2 + 4x3) + 1x3 * (3 + -2x)) = 0
(-12 + 8x + 45x + -30x2 + -6x2 + 4x3 + (3 * 1x3 + -2x * 1x3)) = 0
(-12 + 8x + 45x + -30x2 + -6x2 + 4x3 + (3x3 + -2x4)) = 0

Combine like terms: 8x + 45x = 53x
(-12 + 53x + -30x2 + -6x2 + 4x3 + 3x3 + -2x4) = 0

Combine like terms: -30x2 + -6x2 = -36x2
(-12 + 53x + -36x2 + 4x3 + 3x3 + -2x4) = 0

Combine like terms: 4x3 + 3x3 = 7x3
(-12 + 53x + -36x2 + 7x3 + -2x4) = 0

Solving
-12 + 53x + -36x2 + 7x3 + -2x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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