(x+1)p(x)=2x^4+2x^3-x^2-5x-4

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Solution for (x+1)p(x)=2x^4+2x^3-x^2-5x-4 equation: 


Simplifying
(x + 1) * p(x) = 2x4 + 2x3 + -1x2 + -5x + -4

Reorder the terms:
(1 + x) * p(x) = 2x4 + 2x3 + -1x2 + -5x + -4

Reorder the terms for easier multiplication:
p * x(1 + x) = 2x4 + 2x3 + -1x2 + -5x + -4

Multiply p * x
px(1 + x) = 2x4 + 2x3 + -1x2 + -5x + -4
(1 * px + x * px) = 2x4 + 2x3 + -1x2 + -5x + -4
(1px + px2) = 2x4 + 2x3 + -1x2 + -5x + -4

Reorder the terms:
1px + px2 = -4 + -5x + -1x2 + 2x3 + 2x4

Solving
1px + px2 = -4 + -5x + -1x2 + 2x3 + 2x4

Solving for variable 'p'.

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

Reorder the terms:
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = -4 + -5x + -1x2 + 2x3 + 2x4 + 4 + 5x + x2 + -2x3 + -2x4

Reorder the terms:
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = -4 + 4 + -5x + 5x + -1x2 + x2 + 2x3 + -2x3 + 2x4 + -2x4

Combine like terms: -4 + 4 = 0
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = 0 + -5x + 5x + -1x2 + x2 + 2x3 + -2x3 + 2x4 + -2x4
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = -5x + 5x + -1x2 + x2 + 2x3 + -2x3 + 2x4 + -2x4

Combine like terms: -5x + 5x = 0
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = 0 + -1x2 + x2 + 2x3 + -2x3 + 2x4 + -2x4
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = -1x2 + x2 + 2x3 + -2x3 + 2x4 + -2x4

Combine like terms: -1x2 + x2 = 0
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = 0 + 2x3 + -2x3 + 2x4 + -2x4
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = 2x3 + -2x3 + 2x4 + -2x4

Combine like terms: 2x3 + -2x3 = 0
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = 0 + 2x4 + -2x4
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
4 + 1px + px2 + 5x + x2 + -2x3 + -2x4 = 0

The solution to this equation could not be determined.

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