P(x)=x^4-2x^3+4x^2-8x+16

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Solution for P(x)=x^4-2x^3+4x^2-8x+16 equation:


Simplifying
P(x) = x4 + -2x3 + 4x2 + -8x + 16

Multiply P * x
xP = x4 + -2x3 + 4x2 + -8x + 16

Reorder the terms:
xP = 16 + -8x + 4x2 + -2x3 + x4

Solving
xP = 16 + -8x + 4x2 + -2x3 + x4

Solving for variable 'x'.

Reorder the terms:
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 16 + -8x + 4x2 + -2x3 + x4 + -16 + 8x + -4x2 + 2x3 + -1x4

Reorder the terms:
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 16 + -16 + -8x + 8x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: 16 + -16 = 0
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + -8x + 8x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = -8x + 8x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: -8x + 8x = 0
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: 4x2 + -4x2 = 0
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + -2x3 + 2x3 + x4 + -1x4
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = -2x3 + 2x3 + x4 + -1x4

Combine like terms: -2x3 + 2x3 = 0
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + x4 + -1x4
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0

The solution to this equation could not be determined.

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