0=x^4-8x^3+24x^2-32x+16

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Solution for 0=x^4-8x^3+24x^2-32x+16 equation: 


Simplifying
0 = x4 + -8x3 + 24x2 + -32x + 16

Reorder the terms:
0 = 16 + -32x + 24x2 + -8x3 + x4

Solving
0 = 16 + -32x + 24x2 + -8x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 32x + -24x2 + 8x3 + -1x4 = 16 + -32x + 24x2 + -8x3 + x4 + -16 + 32x + -24x2 + 8x3 + -1x4

Reorder the terms:
-16 + 32x + -24x2 + 8x3 + -1x4 = 16 + -16 + -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: 16 + -16 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = -32x + 32x + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: -32x + 32x = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = 24x2 + -24x2 + -8x3 + 8x3 + x4 + -1x4

Combine like terms: 24x2 + -24x2 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + -8x3 + 8x3 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = -8x3 + 8x3 + x4 + -1x4

Combine like terms: -8x3 + 8x3 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0 + x4 + -1x4
-16 + 32x + -24x2 + 8x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-16 + 32x + -24x2 + 8x3 + -1x4 = 0

The solution to this equation could not be determined.

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