p(x)=2x(x+2)(x+1)

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Solution for p(x)=2x(x+2)(x+1) equation: 


Simplifying
p(x) = 2x(x + 2)(x + 1)

Multiply p * x
px = 2x(x + 2)(x + 1)

Reorder the terms:
px = 2x(2 + x)(x + 1)

Reorder the terms:
px = 2x(2 + x)(1 + x)

Multiply (2 + x) * (1 + x)
px = 2x(2(1 + x) + x(1 + x))
px = 2x((1 * 2 + x * 2) + x(1 + x))
px = 2x((2 + 2x) + x(1 + x))
px = 2x(2 + 2x + (1 * x + x * x))
px = 2x(2 + 2x + (1x + x2))

Combine like terms: 2x + 1x = 3x
px = 2x(2 + 3x + x2)
px = (2 * 2x + 3x * 2x + x2 * 2x)
px = (4x + 6x2 + 2x3)

Solving
px = 4x + 6x2 + 2x3

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 4 + 6x + 2x2

Simplifying
p = 4 + 6x + 2x2

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