p(x)=-x^4+5x^3-(x^2+8)

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Solution for p(x)=-x^4+5x^3-(x^2+8) equation: 


Simplifying
p(x) = -1x4 + 5x3 + -1(x2 + 8)

Multiply p * x
px = -1x4 + 5x3 + -1(x2 + 8)

Reorder the terms:
px = -1x4 + 5x3 + -1(8 + x2)
px = -1x4 + 5x3 + (8 * -1 + x2 * -1)
px = -1x4 + 5x3 + (-8 + -1x2)

Reorder the terms:
px = -8 + -1x2 + 5x3 + -1x4

Solving
px = -8 + -1x2 + 5x3 + -1x4

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -8x-1 + -1x + 5x2 + -1x3

Simplifying
p = -8x-1 + -1x + 5x2 + -1x3

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