p(x)=(x-5)(x-2)(x)

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Solution for p(x)=(x-5)(x-2)(x) equation: 


Simplifying
p(x) = (x + -5)(x + -2)(x)

Multiply p * x
px = (x + -5)(x + -2)(x)

Reorder the terms:
px = (-5 + x)(x + -2)(x)

Reorder the terms:
px = (-5 + x)(-2 + x)(x)

Reorder the terms for easier multiplication:
px = x(-5 + x)(-2 + x)

Multiply (-5 + x) * (-2 + x)
px = x(-5(-2 + x) + x(-2 + x))
px = x((-2 * -5 + x * -5) + x(-2 + x))
px = x((10 + -5x) + x(-2 + x))
px = x(10 + -5x + (-2 * x + x * x))
px = x(10 + -5x + (-2x + x2))

Combine like terms: -5x + -2x = -7x
px = x(10 + -7x + x2)
px = (10 * x + -7x * x + x2 * x)
px = (10x + -7x2 + x3)

Solving
px = 10x + -7x2 + 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 = 10 + -7x + x2

Simplifying
p = 10 + -7x + x2

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