p(x)=3x(x-2)(x-1)

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Solution for p(x)=3x(x-2)(x-1) equation: 


Simplifying
p(x) = 3x(x + -2)(x + -1)

Multiply p * x
px = 3x(x + -2)(x + -1)

Reorder the terms:
px = 3x(-2 + x)(x + -1)

Reorder the terms:
px = 3x(-2 + x)(-1 + x)

Multiply (-2 + x) * (-1 + x)
px = 3x(-2(-1 + x) + x(-1 + x))
px = 3x((-1 * -2 + x * -2) + x(-1 + x))
px = 3x((2 + -2x) + x(-1 + x))
px = 3x(2 + -2x + (-1 * x + x * x))
px = 3x(2 + -2x + (-1x + x2))

Combine like terms: -2x + -1x = -3x
px = 3x(2 + -3x + x2)
px = (2 * 3x + -3x * 3x + x2 * 3x)
px = (6x + -9x2 + 3x3)

Solving
px = 6x + -9x2 + 3x3

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 6 + -9x + 3x2

Simplifying
p = 6 + -9x + 3x2

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