(x-8)p(x)=x^5-8x^4+8x-64

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Solution for (x-8)p(x)=x^5-8x^4+8x-64 equation:


Simplifying
(x + -8) * p(x) = x5 + -8x4 + 8x + -64

Reorder the terms:
(-8 + x) * p(x) = x5 + -8x4 + 8x + -64

Reorder the terms for easier multiplication:
p * x(-8 + x) = x5 + -8x4 + 8x + -64

Multiply p * x
px(-8 + x) = x5 + -8x4 + 8x + -64
(-8 * px + x * px) = x5 + -8x4 + 8x + -64
(-8px + px2) = x5 + -8x4 + 8x + -64

Reorder the terms:
-8px + px2 = -64 + 8x + -8x4 + x5

Solving
-8px + px2 = -64 + 8x + -8x4 + x5

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Reorder the terms:
64 + -8px + px2 + -8x + 8x4 + -1x5 = -64 + 8x + -8x4 + x5 + 64 + -8x + 8x4 + -1x5

Reorder the terms:
64 + -8px + px2 + -8x + 8x4 + -1x5 = -64 + 64 + 8x + -8x + -8x4 + 8x4 + x5 + -1x5

Combine like terms: -64 + 64 = 0
64 + -8px + px2 + -8x + 8x4 + -1x5 = 0 + 8x + -8x + -8x4 + 8x4 + x5 + -1x5
64 + -8px + px2 + -8x + 8x4 + -1x5 = 8x + -8x + -8x4 + 8x4 + x5 + -1x5

Combine like terms: 8x + -8x = 0
64 + -8px + px2 + -8x + 8x4 + -1x5 = 0 + -8x4 + 8x4 + x5 + -1x5
64 + -8px + px2 + -8x + 8x4 + -1x5 = -8x4 + 8x4 + x5 + -1x5

Combine like terms: -8x4 + 8x4 = 0
64 + -8px + px2 + -8x + 8x4 + -1x5 = 0 + x5 + -1x5
64 + -8px + px2 + -8x + 8x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
64 + -8px + px2 + -8x + 8x4 + -1x5 = 0

The solution to this equation could not be determined.

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