p(x)=(x+9)(x-5)(x+3)

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Solution for p(x)=(x+9)(x-5)(x+3) equation: 


Simplifying
p(x) = (x + 9)(x + -5)(x + 3)

Multiply p * x
px = (x + 9)(x + -5)(x + 3)

Reorder the terms:
px = (9 + x)(x + -5)(x + 3)

Reorder the terms:
px = (9 + x)(-5 + x)(x + 3)

Reorder the terms:
px = (9 + x)(-5 + x)(3 + x)

Multiply (9 + x) * (-5 + x)
px = (9(-5 + x) + x(-5 + x))(3 + x)
px = ((-5 * 9 + x * 9) + x(-5 + x))(3 + x)
px = ((-45 + 9x) + x(-5 + x))(3 + x)
px = (-45 + 9x + (-5 * x + x * x))(3 + x)
px = (-45 + 9x + (-5x + x2))(3 + x)

Combine like terms: 9x + -5x = 4x
px = (-45 + 4x + x2)(3 + x)

Multiply (-45 + 4x + x2) * (3 + x)
px = (-45(3 + x) + 4x * (3 + x) + x2(3 + x))
px = ((3 * -45 + x * -45) + 4x * (3 + x) + x2(3 + x))
px = ((-135 + -45x) + 4x * (3 + x) + x2(3 + x))
px = (-135 + -45x + (3 * 4x + x * 4x) + x2(3 + x))
px = (-135 + -45x + (12x + 4x2) + x2(3 + x))
px = (-135 + -45x + 12x + 4x2 + (3 * x2 + x * x2))
px = (-135 + -45x + 12x + 4x2 + (3x2 + x3))

Combine like terms: -45x + 12x = -33x
px = (-135 + -33x + 4x2 + 3x2 + x3)

Combine like terms: 4x2 + 3x2 = 7x2
px = (-135 + -33x + 7x2 + x3)

Solving
px = -135 + -33x + 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 = -135x-1 + -33 + 7x + x2

Simplifying
p = -135x-1 + -33 + 7x + x2

Reorder the terms:
p = -33 + -135x-1 + 7x + x2

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