p(x)=(x+1)[x^2-6x+2]

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Solution for p(x)=(x+1)[x^2-6x+2] equation: 


Simplifying
p(x) = (x + 1)[x2 + -6x + 2]

Multiply p * x
px = (x + 1)[x2 + -6x + 2]

Reorder the terms:
px = (1 + x)[x2 + -6x + 2]

Reorder the terms:
px = (1 + x)[2 + -6x + x2]

Multiply (1 + x) * [2 + -6x + x2]
px = (1[2 + -6x + x2] + x[2 + -6x + x2])
px = ([2 * 1 + -6x * 1 + x2 * 1] + x[2 + -6x + x2])
px = ([2 + -6x + 1x2] + x[2 + -6x + x2])
px = (2 + -6x + 1x2 + [2 * x + -6x * x + x2 * x])
px = (2 + -6x + 1x2 + [2x + -6x2 + x3])

Reorder the terms:
px = (2 + -6x + 2x + 1x2 + -6x2 + x3)

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

Combine like terms: 1x2 + -6x2 = -5x2
px = (2 + -4x + -5x2 + x3)

Solving
px = 2 + -4x + -5x2 + x3

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 2x-1 + -4 + -5x + x2

Simplifying
p = 2x-1 + -4 + -5x + x2

Reorder the terms:
p = -4 + 2x-1 + -5x + x2

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