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

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


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

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

Add '-1x4' to each side of the equation.
x4 + -1x4 = 56 + -32x + 24x2 + -8x3 + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
0 = 56 + -32x + 24x2 + -8x3 + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
0 = 56 + -32x + 24x2 + -8x3 + 0
0 = 56 + -32x + 24x2 + -8x3

Solving
0 = 56 + -32x + 24x2 + -8x3

Solving for variable 'x'.

Combine like terms: 0 + -56 = -56
-56 + 32x + -24x2 + 8x3 = 56 + -32x + 24x2 + -8x3 + -56 + 32x + -24x2 + 8x3

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

Combine like terms: 56 + -56 = 0
-56 + 32x + -24x2 + 8x3 = 0 + -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3
-56 + 32x + -24x2 + 8x3 = -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3

Combine like terms: -32x + 32x = 0
-56 + 32x + -24x2 + 8x3 = 0 + 24x2 + -24x2 + -8x3 + 8x3
-56 + 32x + -24x2 + 8x3 = 24x2 + -24x2 + -8x3 + 8x3

Combine like terms: 24x2 + -24x2 = 0
-56 + 32x + -24x2 + 8x3 = 0 + -8x3 + 8x3
-56 + 32x + -24x2 + 8x3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
-56 + 32x + -24x2 + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-7 + 4x + -3x2 + x3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-7 + 4x + -3x2 + x3)' equal to zero and attempt to solve: Simplifying -7 + 4x + -3x2 + x3 = 0 Solving -7 + 4x + -3x2 + x3 = 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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