0=2x^4+8x^3-512x-2

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Solution for 0=2x^4+8x^3-512x-2 equation:


Simplifying
0 = 2x4 + 8x3 + -512x + -2

Reorder the terms:
0 = -2 + -512x + 8x3 + 2x4

Solving
0 = -2 + -512x + 8x3 + 2x4

Solving for variable 'x'.

Combine like terms: 0 + 2 = 2
2 + 512x + -8x3 + -2x4 = -2 + -512x + 8x3 + 2x4 + 2 + 512x + -8x3 + -2x4

Reorder the terms:
2 + 512x + -8x3 + -2x4 = -2 + 2 + -512x + 512x + 8x3 + -8x3 + 2x4 + -2x4

Combine like terms: -2 + 2 = 0
2 + 512x + -8x3 + -2x4 = 0 + -512x + 512x + 8x3 + -8x3 + 2x4 + -2x4
2 + 512x + -8x3 + -2x4 = -512x + 512x + 8x3 + -8x3 + 2x4 + -2x4

Combine like terms: -512x + 512x = 0
2 + 512x + -8x3 + -2x4 = 0 + 8x3 + -8x3 + 2x4 + -2x4
2 + 512x + -8x3 + -2x4 = 8x3 + -8x3 + 2x4 + -2x4

Combine like terms: 8x3 + -8x3 = 0
2 + 512x + -8x3 + -2x4 = 0 + 2x4 + -2x4
2 + 512x + -8x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
2 + 512x + -8x3 + -2x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 256x + -4x3 + -1x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + 256x + -4x3 + -1x4)' equal to zero and attempt to solve: Simplifying 1 + 256x + -4x3 + -1x4 = 0 Solving 1 + 256x + -4x3 + -1x4 = 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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