0=5[(X^2)(X-2)]28[(X+2)(X-2)]X+5[(X+2)(x^2-4)]

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Solution for 0=5[(X^2)(X-2)]28[(X+2)(X-2)]X+5[(X+2)(x^2-4)] equation: 


Simplifying
0 = 5[(X2)(X + -2)] * 28[(X + 2)(X + -2)] * X + 5[(X + 2)(x2 + -4)]

Reorder the terms:
0 = 5[X2(-2 + X)] * 28[(X + 2)(X + -2)] * X + 5[(X + 2)(x2 + -4)]
0 = 5[(-2 * X2 + X * X2)] * 28[(X + 2)(X + -2)] * X + 5[(X + 2)(x2 + -4)]
0 = 5[(-2X2 + X3)] * 28[(X + 2)(X + -2)] * X + 5[(X + 2)(x2 + -4)]

Reorder the terms:
0 = 5[-2X2 + X3] * 28[(2 + X)(X + -2)] * X + 5[(X + 2)(x2 + -4)]

Reorder the terms:
0 = 5[-2X2 + X3] * 28[(2 + X)(-2 + X)] * X + 5[(X + 2)(x2 + -4)]

Multiply (2 + X) * (-2 + X)
0 = 5[-2X2 + X3] * 28[(2(-2 + X) + X(-2 + X))] * X + 5[(X + 2)(x2 + -4)]
0 = 5[-2X2 + X3] * 28[((-2 * 2 + X * 2) + X(-2 + X))] * X + 5[(X + 2)(x2 + -4)]
0 = 5[-2X2 + X3] * 28[((-4 + 2X) + X(-2 + X))] * X + 5[(X + 2)(x2 + -4)]
0 = 5[-2X2 + X3] * 28[(-4 + 2X + (-2 * X + X * X))] * X + 5[(X + 2)(x2 + -4)]
0 = 5[-2X2 + X3] * 28[(-4 + 2X + (-2X + X2))] * X + 5[(X + 2)(x2 + -4)]

Combine like terms: 2X + -2X = 0
0 = 5[-2X2 + X3] * 28[(-4 + 0 + X2)] * X + 5[(X + 2)(x2 + -4)]
0 = 5[-2X2 + X3] * 28[(-4 + X2)] * X + 5[(X + 2)(x2 + -4)]

Reorder the terms for easier multiplication:
0 = 5 * 28X[-2X2 + X3][-4 + X2] + 5[(X + 2)(x2 + -4)]

Multiply 5 * 28
0 = 140X[-2X2 + X3][-4 + X2] + 5[(X + 2)(x2 + -4)]

Multiply [-2X2 + X3] * [-4 + X2]
0 = 140X[-2X2 * [-4 + X2] + X3[-4 + X2]] + 5[(X + 2)(x2 + -4)]
0 = 140X[[-4 * -2X2 + X2 * -2X2] + X3[-4 + X2]] + 5[(X + 2)(x2 + -4)]
0 = 140X[[8X2 + -2X4] + X3[-4 + X2]] + 5[(X + 2)(x2 + -4)]
0 = 140X[8X2 + -2X4 + [-4 * X3 + X2 * X3]] + 5[(X + 2)(x2 + -4)]
0 = 140X[8X2 + -2X4 + [-4X3 + X5]] + 5[(X + 2)(x2 + -4)]

Reorder the terms:
0 = 140X[8X2 + -4X3 + -2X4 + X5] + 5[(X + 2)(x2 + -4)]
0 = 140X[8X2 + -4X3 + -2X4 + X5] + 5[(X + 2)(x2 + -4)]
0 = [8X2 * 140X + -4X3 * 140X + -2X4 * 140X + X5 * 140X] + 5[(X + 2)(x2 + -4)]
0 = [1120X3 + -560X4 + -280X5 + 140X6] + 5[(X + 2)(x2 + -4)]

Reorder the terms:
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[(2 + X)(x2 + -4)]

Reorder the terms:
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[(2 + X)(-4 + x2)]

Multiply (2 + X) * (-4 + x2)
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[(2(-4 + x2) + X(-4 + x2))]
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[((-4 * 2 + x2 * 2) + X(-4 + x2))]
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[((-8 + 2x2) + X(-4 + x2))]
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[(-8 + 2x2 + (-4 * X + x2 * X))]
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[(-8 + 2x2 + (-4X + x2X))]

Reorder the terms:
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[(-8 + -4X + 2x2 + x2X)]
0 = 1120X3 + -560X4 + -280X5 + 140X6 + 5[(-8 + -4X + 2x2 + x2X)]
0 = 1120X3 + -560X4 + -280X5 + 140X6 + [-8 * 5 + -4X * 5 + 2x2 * 5 + x2X * 5]
0 = 1120X3 + -560X4 + -280X5 + 140X6 + [-40 + -20X + 10x2 + 5x2X]

Reorder the terms:
0 = -40 + -20X + 1120X3 + -560X4 + -280X5 + 140X6 + 10x2 + 5x2X

Solving
0 = -40 + -20X + 1120X3 + -560X4 + -280X5 + 140X6 + 10x2 + 5x2X

Solving for variable 'X'.

Combine like terms: 0 + 40 = 40
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = -40 + -20X + 1120X3 + -560X4 + -280X5 + 140X6 + 10x2 + 5x2X + 40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X

Reorder the terms:
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = -40 + 40 + -20X + 20X + 1120X3 + -1120X3 + -560X4 + 560X4 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X

Combine like terms: -40 + 40 = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0 + -20X + 20X + 1120X3 + -1120X3 + -560X4 + 560X4 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = -20X + 20X + 1120X3 + -1120X3 + -560X4 + 560X4 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X

Combine like terms: -20X + 20X = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0 + 1120X3 + -1120X3 + -560X4 + 560X4 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 1120X3 + -1120X3 + -560X4 + 560X4 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X

Combine like terms: 1120X3 + -1120X3 = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0 + -560X4 + 560X4 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = -560X4 + 560X4 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X

Combine like terms: -560X4 + 560X4 = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0 + -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = -280X5 + 280X5 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X

Combine like terms: -280X5 + 280X5 = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0 + 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 140X6 + -140X6 + 10x2 + -10x2 + 5x2X + -5x2X

Combine like terms: 140X6 + -140X6 = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0 + 10x2 + -10x2 + 5x2X + -5x2X
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 10x2 + -10x2 + 5x2X + -5x2X

Combine like terms: 10x2 + -10x2 = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0 + 5x2X + -5x2X
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 5x2X + -5x2X

Combine like terms: 5x2X + -5x2X = 0
40 + 20X + -1120X3 + 560X4 + 280X5 + -140X6 + -10x2 + -5x2X = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + 4X + -224X3 + 112X4 + 56X5 + -28X6 + -2x2 + -1x2X) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(8 + 4X + -224X3 + 112X4 + 56X5 + -28X6 + -2x2 + -1x2X)' equal to zero and attempt to solve:

Simplifying
8 + 4X + -224X3 + 112X4 + 56X5 + -28X6 + -2x2 + -1x2X = 0

Solving
8 + 4X + -224X3 + 112X4 + 56X5 + -28X6 + -2x2 + -1x2X = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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