p(x)=x*4*4*4*4+8*x*x*x+15x*x-8x-16

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Solution for p(x)=x*4*4*4*4+8*x*x*x+15x*x-8x-16 equation: 


Simplifying
p(x) = x * 4 * 4 * 4 * 4 + 8x * x * x + 15x * x + -8x + -16

Multiply p * x
px = x * 4 * 4 * 4 * 4 + 8x * x * x + 15x * x + -8x + -16

Reorder the terms for easier multiplication:
px = 4 * 4 * 4 * 4x + 8x * x * x + 15x * x + -8x + -16

Multiply 4 * 4
px = 16 * 4 * 4x + 8x * x * x + 15x * x + -8x + -16

Multiply 16 * 4
px = 64 * 4x + 8x * x * x + 15x * x + -8x + -16

Multiply 64 * 4
px = 256x + 8x * x * x + 15x * x + -8x + -16

Multiply x * x
px = 256x + 8x2 * x + 15x * x + -8x + -16

Multiply x2 * x
px = 256x + 8x3 + 15x * x + -8x + -16

Multiply x * x
px = 256x + 8x3 + 15x2 + -8x + -16

Reorder the terms:
px = -16 + 256x + -8x + 15x2 + 8x3

Combine like terms: 256x + -8x = 248x
px = -16 + 248x + 15x2 + 8x3

Solving
px = -16 + 248x + 15x2 + 8x3

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -16x-1 + 248 + 15x + 8x2

Simplifying
p = -16x-1 + 248 + 15x + 8x2

Reorder the terms:
p = 248 + -16x-1 + 15x + 8x2

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