p(x)=x(x-5)(x-3)

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Solution for p(x)=x(x-5)(x-3) equation: 


Simplifying
p(x) = x(x + -5)(x + -3)

Multiply p * x
px = x(x + -5)(x + -3)

Reorder the terms:
px = x(-5 + x)(x + -3)

Reorder the terms:
px = x(-5 + x)(-3 + x)

Multiply (-5 + x) * (-3 + x)
px = x(-5(-3 + x) + x(-3 + x))
px = x((-3 * -5 + x * -5) + x(-3 + x))
px = x((15 + -5x) + x(-3 + x))
px = x(15 + -5x + (-3 * x + x * x))
px = x(15 + -5x + (-3x + x2))

Combine like terms: -5x + -3x = -8x
px = x(15 + -8x + x2)
px = (15 * x + -8x * x + x2 * x)
px = (15x + -8x2 + x3)

Solving
px = 15x + -8x2 + 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 = 15 + -8x + x2

Simplifying
p = 15 + -8x + x2

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