x^4=x^4-8x^3+24x^2-32x+56+6

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Solution for x^4=x^4-8x^3+24x^2-32x+56+6 equation:


Simplifying
x4 = x4 + -8x3 + 24x2 + -32x + 56 + 6

Reorder the terms:
x4 = 56 + 6 + -32x + 24x2 + -8x3 + x4

Combine like terms: 56 + 6 = 62
x4 = 62 + -32x + 24x2 + -8x3 + x4

Add '-1x4' to each side of the equation.
x4 + -1x4 = 62 + -32x + 24x2 + -8x3 + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
0 = 62 + -32x + 24x2 + -8x3 + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
0 = 62 + -32x + 24x2 + -8x3 + 0
0 = 62 + -32x + 24x2 + -8x3

Solving
0 = 62 + -32x + 24x2 + -8x3

Solving for variable 'x'.

Combine like terms: 0 + -62 = -62
-62 + 32x + -24x2 + 8x3 = 62 + -32x + 24x2 + -8x3 + -62 + 32x + -24x2 + 8x3

Reorder the terms:
-62 + 32x + -24x2 + 8x3 = 62 + -62 + -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3

Combine like terms: 62 + -62 = 0
-62 + 32x + -24x2 + 8x3 = 0 + -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3
-62 + 32x + -24x2 + 8x3 = -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3

Combine like terms: -32x + 32x = 0
-62 + 32x + -24x2 + 8x3 = 0 + 24x2 + -24x2 + -8x3 + 8x3
-62 + 32x + -24x2 + 8x3 = 24x2 + -24x2 + -8x3 + 8x3

Combine like terms: 24x2 + -24x2 = 0
-62 + 32x + -24x2 + 8x3 = 0 + -8x3 + 8x3
-62 + 32x + -24x2 + 8x3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
-62 + 32x + -24x2 + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-31 + 16x + -12x2 + 4x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-31 + 16x + -12x2 + 4x3)' equal to zero and attempt to solve: Simplifying -31 + 16x + -12x2 + 4x3 = 0 Solving -31 + 16x + -12x2 + 4x3 = 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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